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Finding the Fourth Proportional to 22,509, 31,062.42 and 12,573

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Solution

The fourth proportional to 22,509, 31,062.42 and 12,573 is: 17,350.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509 : 31,062.42 = 12,573 : x
  2. Step 2: Convert to fraction form
    22,509/31,062.42 = 12,573/x
  3. Step 3: Cross multiply
    22,509x = 31,062.42 × 12,573
  4. Step 4: Simplify right side
    22,509x = 390,547,806.66
  5. Step 5: Solve for x
    x = 390,547,806.66/22,509
  6. Step 6: Final answer
    x = 17,350.74

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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.