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Finding the Fourth Proportional to 8,323.40, 12,484.08 and 5,203.68

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Solution

The fourth proportional to 8,323.40, 12,484.08 and 5,203.68 is: 7,804.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.40 : 12,484.08 = 5,203.68 : x
  2. Step 2: Convert to fraction form
    8,323.40/12,484.08 = 5,203.68/x
  3. Step 3: Cross multiply
    8,323.40x = 12,484.08 × 5,203.68
  4. Step 4: Simplify right side
    8,323.40x = 64,963,157.41
  5. Step 5: Solve for x
    x = 64,963,157.41/8,323.40
  6. Step 6: Final answer
    x = 7,804.88

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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.