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Finding the Fourth Proportional to 15,649.40, 21,597 and 8,576.12

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Solution

The fourth proportional to 15,649.40, 21,597 and 8,576.12 is: 11,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,649.40 : 21,597 = 8,576.12 : x
  2. Step 2: Convert to fraction form
    15,649.40/21,597 = 8,576.12/x
  3. Step 3: Cross multiply
    15,649.40x = 21,597 × 8,576.12
  4. Step 4: Simplify right side
    15,649.40x = 185,218,463.64
  5. Step 5: Solve for x
    x = 185,218,463.64/15,649.40
  6. Step 6: Final answer
    x = 11,835.50

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1.5x scale

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.