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Finding the Fourth Proportional to 21,547.88, 32,315.51 and 8,397.11

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Solution

The fourth proportional to 21,547.88, 32,315.51 and 8,397.11 is: 12,593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,547.88 : 32,315.51 = 8,397.11 : x
  2. Step 2: Convert to fraction form
    21,547.88/32,315.51 = 8,397.11/x
  3. Step 3: Cross multiply
    21,547.88x = 32,315.51 × 8,397.11
  4. Step 4: Simplify right side
    21,547.88x = 271,356,850.19
  5. Step 5: Solve for x
    x = 271,356,850.19/21,547.88
  6. Step 6: Final answer
    x = 12,593.20

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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.