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Finding the Fourth Proportional to 10,508.46, 15,748.65 and 7,722.06

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Solution

The fourth proportional to 10,508.46, 15,748.65 and 7,722.06 is: 11,572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.46 : 15,748.65 = 7,722.06 : x
  2. Step 2: Convert to fraction form
    10,508.46/15,748.65 = 7,722.06/x
  3. Step 3: Cross multiply
    10,508.46x = 15,748.65 × 7,722.06
  4. Step 4: Simplify right side
    10,508.46x = 121,612,020.22
  5. Step 5: Solve for x
    x = 121,612,020.22/10,508.46
  6. Step 6: Final answer
    x = 11,572.77

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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.