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Finding the Fourth Proportional to 21,764.64, 32,616.42 and 9,267.76

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Solution

The fourth proportional to 21,764.64, 32,616.42 and 9,267.76 is: 13,888.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,764.64 : 32,616.42 = 9,267.76 : x
  2. Step 2: Convert to fraction form
    21,764.64/32,616.42 = 9,267.76/x
  3. Step 3: Cross multiply
    21,764.64x = 32,616.42 × 9,267.76
  4. Step 4: Simplify right side
    21,764.64x = 302,281,152.62
  5. Step 5: Solve for x
    x = 302,281,152.62/21,764.64
  6. Step 6: Final answer
    x = 13,888.64

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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.