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Finding the Fourth Proportional to 5,642.69, 7,787.21 and 3,125.07

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Solution

The fourth proportional to 5,642.69, 7,787.21 and 3,125.07 is: 4,312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.69 : 7,787.21 = 3,125.07 : x
  2. Step 2: Convert to fraction form
    5,642.69/7,787.21 = 3,125.07/x
  3. Step 3: Cross multiply
    5,642.69x = 7,787.21 × 3,125.07
  4. Step 4: Simplify right side
    5,642.69x = 24,335,560.73
  5. Step 5: Solve for x
    x = 24,335,560.73/5,642.69
  6. Step 6: Final answer
    x = 4,312.76

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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.