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Finding the Fourth Proportional to 7,148.70, 9,881.73 and 5,962.86

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Solution

The fourth proportional to 7,148.70, 9,881.73 and 5,962.86 is: 8,242.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.70 : 9,881.73 = 5,962.86 : x
  2. Step 2: Convert to fraction form
    7,148.70/9,881.73 = 5,962.86/x
  3. Step 3: Cross multiply
    7,148.70x = 9,881.73 × 5,962.86
  4. Step 4: Simplify right side
    7,148.70x = 58,923,372.55
  5. Step 5: Solve for x
    x = 58,923,372.55/7,148.70
  6. Step 6: Final answer
    x = 8,242.53

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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.