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Finding the Fourth Proportional to 10,562.01, 15,828.20 and 8,211.25

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Solution

The fourth proportional to 10,562.01, 15,828.20 and 8,211.25 is: 12,305.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.01 : 15,828.20 = 8,211.25 : x
  2. Step 2: Convert to fraction form
    10,562.01/15,828.20 = 8,211.25/x
  3. Step 3: Cross multiply
    10,562.01x = 15,828.20 × 8,211.25
  4. Step 4: Simplify right side
    10,562.01x = 129,969,307.25
  5. Step 5: Solve for x
    x = 129,969,307.25/10,562.01
  6. Step 6: Final answer
    x = 12,305.36

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1.5x scale

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.