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Finding the Fourth Proportional to 2,875.71, 4,311.82 and 1,875.80

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Solution

The fourth proportional to 2,875.71, 4,311.82 and 1,875.80 is: 2,812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.71 : 4,311.82 = 1,875.80 : x
  2. Step 2: Convert to fraction form
    2,875.71/4,311.82 = 1,875.80/x
  3. Step 3: Cross multiply
    2,875.71x = 4,311.82 × 1,875.80
  4. Step 4: Simplify right side
    2,875.71x = 8,088,139.03
  5. Step 5: Solve for x
    x = 8,088,139.03/2,875.71
  6. Step 6: Final answer
    x = 2,812.57

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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.