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Finding the Fourth Proportional to 10,271.90, 15,407.85 and 5,087.90

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Solution

The fourth proportional to 10,271.90, 15,407.85 and 5,087.90 is: 7,631.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.90 : 15,407.85 = 5,087.90 : x
  2. Step 2: Convert to fraction form
    10,271.90/15,407.85 = 5,087.90/x
  3. Step 3: Cross multiply
    10,271.90x = 15,407.85 × 5,087.90
  4. Step 4: Simplify right side
    10,271.90x = 78,393,600.02
  5. Step 5: Solve for x
    x = 78,393,600.02/10,271.90
  6. Step 6: Final answer
    x = 7,631.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.