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Finding the Fourth Proportional to 1,316.64, 1,966.02 and 1,178.12

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Solution

The fourth proportional to 1,316.64, 1,966.02 and 1,178.12 is: 1,759.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.64 : 1,966.02 = 1,178.12 : x
  2. Step 2: Convert to fraction form
    1,316.64/1,966.02 = 1,178.12/x
  3. Step 3: Cross multiply
    1,316.64x = 1,966.02 × 1,178.12
  4. Step 4: Simplify right side
    1,316.64x = 2,316,207.48
  5. Step 5: Solve for x
    x = 2,316,207.48/1,316.64
  6. Step 6: Final answer
    x = 1,759.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.