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Finding the Fourth Proportional to 2,098.32, 3,147.56 and 637.50

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Solution

The fourth proportional to 2,098.32, 3,147.56 and 637.50 is: 956.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.32 : 3,147.56 = 637.50 : x
  2. Step 2: Convert to fraction form
    2,098.32/3,147.56 = 637.50/x
  3. Step 3: Cross multiply
    2,098.32x = 3,147.56 × 637.50
  4. Step 4: Simplify right side
    2,098.32x = 2,006,569.50
  5. Step 5: Solve for x
    x = 2,006,569.50/2,098.32
  6. Step 6: Final answer
    x = 956.27

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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.