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Finding the Fourth Proportional to 15,650, 21,597 and 9,029.84

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Solution

The fourth proportional to 15,650, 21,597 and 9,029.84 is: 12,461.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,650 : 21,597 = 9,029.84 : x
  2. Step 2: Convert to fraction form
    15,650/21,597 = 9,029.84/x
  3. Step 3: Cross multiply
    15,650x = 21,597 × 9,029.84
  4. Step 4: Simplify right side
    15,650x = 195,017,454.48
  5. Step 5: Solve for x
    x = 195,017,454.48/15,650
  6. Step 6: Final answer
    x = 12,461.18

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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.