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Finding the Fourth Proportional to 1,412.62, 1,947.54 and 1,159.62

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Solution

The fourth proportional to 1,412.62, 1,947.54 and 1,159.62 is: 1,598.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.62 : 1,947.54 = 1,159.62 : x
  2. Step 2: Convert to fraction form
    1,412.62/1,947.54 = 1,159.62/x
  3. Step 3: Cross multiply
    1,412.62x = 1,947.54 × 1,159.62
  4. Step 4: Simplify right side
    1,412.62x = 2,258,406.33
  5. Step 5: Solve for x
    x = 2,258,406.33/1,412.62
  6. Step 6: Final answer
    x = 1,598.74

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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.