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Finding the Fourth Proportional to 7,149.84, 9,871.92 and 4,635.60

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Solution

The fourth proportional to 7,149.84, 9,871.92 and 4,635.60 is: 6,400.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.84 : 9,871.92 = 4,635.60 : x
  2. Step 2: Convert to fraction form
    7,149.84/9,871.92 = 4,635.60/x
  3. Step 3: Cross multiply
    7,149.84x = 9,871.92 × 4,635.60
  4. Step 4: Simplify right side
    7,149.84x = 45,762,272.35
  5. Step 5: Solve for x
    x = 45,762,272.35/7,149.84
  6. Step 6: Final answer
    x = 6,400.46

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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.