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Finding the Fourth Proportional to 21,501.08, 32,264.08 and 9,020

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Solution

The fourth proportional to 21,501.08, 32,264.08 and 9,020 is: 13,535.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,501.08 : 32,264.08 = 9,020 : x
  2. Step 2: Convert to fraction form
    21,501.08/32,264.08 = 9,020/x
  3. Step 3: Cross multiply
    21,501.08x = 32,264.08 × 9,020
  4. Step 4: Simplify right side
    21,501.08x = 291,022,001.60
  5. Step 5: Solve for x
    x = 291,022,001.60/21,501.08
  6. Step 6: Final answer
    x = 13,535.23

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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.