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Finding the Fourth Proportional to 15,689, 21,652.74 and 9,065

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Solution

The fourth proportional to 15,689, 21,652.74 and 9,065 is: 12,510.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,689 : 21,652.74 = 9,065 : x
  2. Step 2: Convert to fraction form
    15,689/21,652.74 = 9,065/x
  3. Step 3: Cross multiply
    15,689x = 21,652.74 × 9,065
  4. Step 4: Simplify right side
    15,689x = 196,282,088.10
  5. Step 5: Solve for x
    x = 196,282,088.10/15,689
  6. Step 6: Final answer
    x = 12,510.81

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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.