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Finding the Fourth Proportional to 2,420.78, 3,340.71 and 1,358.78

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Solution

The fourth proportional to 2,420.78, 3,340.71 and 1,358.78 is: 1,875.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.78 : 3,340.71 = 1,358.78 : x
  2. Step 2: Convert to fraction form
    2,420.78/3,340.71 = 1,358.78/x
  3. Step 3: Cross multiply
    2,420.78x = 3,340.71 × 1,358.78
  4. Step 4: Simplify right side
    2,420.78x = 4,539,273.23
  5. Step 5: Solve for x
    x = 4,539,273.23/2,420.78
  6. Step 6: Final answer
    x = 1,875.13

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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.