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Finding the Fourth Proportional to 1,341.87, 1,851.86 and 752.49

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Solution

The fourth proportional to 1,341.87, 1,851.86 and 752.49 is: 1,038.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.87 : 1,851.86 = 752.49 : x
  2. Step 2: Convert to fraction form
    1,341.87/1,851.86 = 752.49/x
  3. Step 3: Cross multiply
    1,341.87x = 1,851.86 × 752.49
  4. Step 4: Simplify right side
    1,341.87x = 1,393,506.13
  5. Step 5: Solve for x
    x = 1,393,506.13/1,341.87
  6. Step 6: Final answer
    x = 1,038.48

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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.