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Finding the Fourth Proportional to 10,502.20, 15,762.94 and 5,311.72

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Solution

The fourth proportional to 10,502.20, 15,762.94 and 5,311.72 is: 7,972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.20 : 15,762.94 = 5,311.72 : x
  2. Step 2: Convert to fraction form
    10,502.20/15,762.94 = 5,311.72/x
  3. Step 3: Cross multiply
    10,502.20x = 15,762.94 × 5,311.72
  4. Step 4: Simplify right side
    10,502.20x = 83,728,323.66
  5. Step 5: Solve for x
    x = 83,728,323.66/10,502.20
  6. Step 6: Final answer
    x = 7,972.46

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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.