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Finding the Fourth Proportional to 1,397.40, 1,924.02 and 1,187.16

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Solution

The fourth proportional to 1,397.40, 1,924.02 and 1,187.16 is: 1,634.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.40 : 1,924.02 = 1,187.16 : x
  2. Step 2: Convert to fraction form
    1,397.40/1,924.02 = 1,187.16/x
  3. Step 3: Cross multiply
    1,397.40x = 1,924.02 × 1,187.16
  4. Step 4: Simplify right side
    1,397.40x = 2,284,119.58
  5. Step 5: Solve for x
    x = 2,284,119.58/1,397.40
  6. Step 6: Final answer
    x = 1,634.55

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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.