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Finding the Fourth Proportional to 21,509, 32,264.72 and 7,658

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Solution

The fourth proportional to 21,509, 32,264.72 and 7,658 is: 11,487.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509 : 32,264.72 = 7,658 : x
  2. Step 2: Convert to fraction form
    21,509/32,264.72 = 7,658/x
  3. Step 3: Cross multiply
    21,509x = 32,264.72 × 7,658
  4. Step 4: Simplify right side
    21,509x = 247,083,187.47
  5. Step 5: Solve for x
    x = 247,083,187.47/21,509
  6. Step 6: Final answer
    x = 11,487.43

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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.