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Finding the Fourth Proportional to 3,134.76, 4,326 and 1,737.50

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Solution

The fourth proportional to 3,134.76, 4,326 and 1,737.50 is: 2,397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.76 : 4,326 = 1,737.50 : x
  2. Step 2: Convert to fraction form
    3,134.76/4,326 = 1,737.50/x
  3. Step 3: Cross multiply
    3,134.76x = 4,326 × 1,737.50
  4. Step 4: Simplify right side
    3,134.76x = 7,516,425
  5. Step 5: Solve for x
    x = 7,516,425/3,134.76
  6. Step 6: Final answer
    x = 2,397.77

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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.