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Finding the Fourth Proportional to 21,603, 32,417.10 and 9,122.28

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Solution

The fourth proportional to 21,603, 32,417.10 and 9,122.28 is: 13,688.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,603 : 32,417.10 = 9,122.28 : x
  2. Step 2: Convert to fraction form
    21,603/32,417.10 = 9,122.28/x
  3. Step 3: Cross multiply
    21,603x = 32,417.10 × 9,122.28
  4. Step 4: Simplify right side
    21,603x = 295,717,862.99
  5. Step 5: Solve for x
    x = 295,717,862.99/21,603
  6. Step 6: Final answer
    x = 13,688.74

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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.