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Finding the Fourth Proportional to 3,159.76, 4,740.87 and 1,310.41

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Solution

The fourth proportional to 3,159.76, 4,740.87 and 1,310.41 is: 1,966.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.76 : 4,740.87 = 1,310.41 : x
  2. Step 2: Convert to fraction form
    3,159.76/4,740.87 = 1,310.41/x
  3. Step 3: Cross multiply
    3,159.76x = 4,740.87 × 1,310.41
  4. Step 4: Simplify right side
    3,159.76x = 6,212,483.46
  5. Step 5: Solve for x
    x = 6,212,483.46/3,159.76
  6. Step 6: Final answer
    x = 1,966.13

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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.