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Finding the Fourth Proportional to 8,509.76, 12,764.66 and 3,315.63

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Solution

The fourth proportional to 8,509.76, 12,764.66 and 3,315.63 is: 4,973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.76 : 12,764.66 = 3,315.63 : x
  2. Step 2: Convert to fraction form
    8,509.76/12,764.66 = 3,315.63/x
  3. Step 3: Cross multiply
    8,509.76x = 12,764.66 × 3,315.63
  4. Step 4: Simplify right side
    8,509.76x = 42,322,873.06
  5. Step 5: Solve for x
    x = 42,322,873.06/8,509.76
  6. Step 6: Final answer
    x = 4,973.45

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.