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Finding the Fourth Proportional to 10,360, 15,501.12 and 6,446.08

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Solution

The fourth proportional to 10,360, 15,501.12 and 6,446.08 is: 9,644.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,360 : 15,501.12 = 6,446.08 : x
  2. Step 2: Convert to fraction form
    10,360/15,501.12 = 6,446.08/x
  3. Step 3: Cross multiply
    10,360x = 15,501.12 × 6,446.08
  4. Step 4: Simplify right side
    10,360x = 99,921,459.61
  5. Step 5: Solve for x
    x = 99,921,459.61/10,360
  6. Step 6: Final answer
    x = 9,644.93

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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.