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Finding the Fourth Proportional to 7,138.71, 9,855.89 and 4,587.50

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Solution

The fourth proportional to 7,138.71, 9,855.89 and 4,587.50 is: 6,333.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.71 : 9,855.89 = 4,587.50 : x
  2. Step 2: Convert to fraction form
    7,138.71/9,855.89 = 4,587.50/x
  3. Step 3: Cross multiply
    7,138.71x = 9,855.89 × 4,587.50
  4. Step 4: Simplify right side
    7,138.71x = 45,213,872.44
  5. Step 5: Solve for x
    x = 45,213,872.44/7,138.71
  6. Step 6: Final answer
    x = 6,333.62

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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.