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Finding the Fourth Proportional to 5,145.28, 7,672.74 and 5,098.50

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Solution

The fourth proportional to 5,145.28, 7,672.74 and 5,098.50 is: 7,602.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.28 : 7,672.74 = 5,098.50 : x
  2. Step 2: Convert to fraction form
    5,145.28/7,672.74 = 5,098.50/x
  3. Step 3: Cross multiply
    5,145.28x = 7,672.74 × 5,098.50
  4. Step 4: Simplify right side
    5,145.28x = 39,119,439.40
  5. Step 5: Solve for x
    x = 39,119,439.40/5,145.28
  6. Step 6: Final answer
    x = 7,602.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.