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Finding the Fourth Proportional to 3,145.87, 4,711.51 and 3,036.52

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Solution

The fourth proportional to 3,145.87, 4,711.51 and 3,036.52 is: 4,547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.87 : 4,711.51 = 3,036.52 : x
  2. Step 2: Convert to fraction form
    3,145.87/4,711.51 = 3,036.52/x
  3. Step 3: Cross multiply
    3,145.87x = 4,711.51 × 3,036.52
  4. Step 4: Simplify right side
    3,145.87x = 14,306,594.35
  5. Step 5: Solve for x
    x = 14,306,594.35/3,145.87
  6. Step 6: Final answer
    x = 4,547.74

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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.