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Finding the Fourth Proportional to 3,136.92, 4,329 and 1,810.74

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Solution

The fourth proportional to 3,136.92, 4,329 and 1,810.74 is: 2,498.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.92 : 4,329 = 1,810.74 : x
  2. Step 2: Convert to fraction form
    3,136.92/4,329 = 1,810.74/x
  3. Step 3: Cross multiply
    3,136.92x = 4,329 × 1,810.74
  4. Step 4: Simplify right side
    3,136.92x = 7,838,693.46
  5. Step 5: Solve for x
    x = 7,838,693.46/3,136.92
  6. Step 6: Final answer
    x = 2,498.85

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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.