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Finding the Fourth Proportional to 6,871.54, 9,472.39 and 5,376.86

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Solution

The fourth proportional to 6,871.54, 9,472.39 and 5,376.86 is: 7,411.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.54 : 9,472.39 = 5,376.86 : x
  2. Step 2: Convert to fraction form
    6,871.54/9,472.39 = 5,376.86/x
  3. Step 3: Cross multiply
    6,871.54x = 9,472.39 × 5,376.86
  4. Step 4: Simplify right side
    6,871.54x = 50,931,714.90
  5. Step 5: Solve for x
    x = 50,931,714.90/6,871.54
  6. Step 6: Final answer
    x = 7,411.98

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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.