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Finding the Fourth Proportional to 2,875.70, 4,314.47 and 1,315.64

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Solution

The fourth proportional to 2,875.70, 4,314.47 and 1,315.64 is: 1,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.70 : 4,314.47 = 1,315.64 : x
  2. Step 2: Convert to fraction form
    2,875.70/4,314.47 = 1,315.64/x
  3. Step 3: Cross multiply
    2,875.70x = 4,314.47 × 1,315.64
  4. Step 4: Simplify right side
    2,875.70x = 5,676,293.52
  5. Step 5: Solve for x
    x = 5,676,293.52/2,875.70
  6. Step 6: Final answer
    x = 1,973.88

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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.