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Finding the Fourth Proportional to 1,412.47, 1,949.32 and 783.19

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Solution

The fourth proportional to 1,412.47, 1,949.32 and 783.19 is: 1,080.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.47 : 1,949.32 = 783.19 : x
  2. Step 2: Convert to fraction form
    1,412.47/1,949.32 = 783.19/x
  3. Step 3: Cross multiply
    1,412.47x = 1,949.32 × 783.19
  4. Step 4: Simplify right side
    1,412.47x = 1,526,685.97
  5. Step 5: Solve for x
    x = 1,526,685.97/1,412.47
  6. Step 6: Final answer
    x = 1,080.87

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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.