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Finding the Fourth Proportional to 2,478.71, 3,420.71 and 1,359.68

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Solution

The fourth proportional to 2,478.71, 3,420.71 and 1,359.68 is: 1,876.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.71 : 3,420.71 = 1,359.68 : x
  2. Step 2: Convert to fraction form
    2,478.71/3,420.71 = 1,359.68/x
  3. Step 3: Cross multiply
    2,478.71x = 3,420.71 × 1,359.68
  4. Step 4: Simplify right side
    2,478.71x = 4,651,077.82
  5. Step 5: Solve for x
    x = 4,651,077.82/2,478.71
  6. Step 6: Final answer
    x = 1,876.41

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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.