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Finding the Fourth Proportional to 15,978.16, 22,050.08 and 9,264.24

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Solution

The fourth proportional to 15,978.16, 22,050.08 and 9,264.24 is: 12,784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.16 : 22,050.08 = 9,264.24 : x
  2. Step 2: Convert to fraction form
    15,978.16/22,050.08 = 9,264.24/x
  3. Step 3: Cross multiply
    15,978.16x = 22,050.08 × 9,264.24
  4. Step 4: Simplify right side
    15,978.16x = 204,277,233.14
  5. Step 5: Solve for x
    x = 204,277,233.14/15,978.16
  6. Step 6: Final answer
    x = 12,784.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.