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Finding the Fourth Proportional to 5,787.76, 7,966.80 and 5,123.44

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Solution

The fourth proportional to 5,787.76, 7,966.80 and 5,123.44 is: 7,052.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.76 : 7,966.80 = 5,123.44 : x
  2. Step 2: Convert to fraction form
    5,787.76/7,966.80 = 5,123.44/x
  3. Step 3: Cross multiply
    5,787.76x = 7,966.80 × 5,123.44
  4. Step 4: Simplify right side
    5,787.76x = 40,817,421.79
  5. Step 5: Solve for x
    x = 40,817,421.79/5,787.76
  6. Step 6: Final answer
    x = 7,052.37

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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.