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Finding the Fourth Proportional to 1,966.12, 2,948.54 and 649.58

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Solution

The fourth proportional to 1,966.12, 2,948.54 and 649.58 is: 974.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.12 : 2,948.54 = 649.58 : x
  2. Step 2: Convert to fraction form
    1,966.12/2,948.54 = 649.58/x
  3. Step 3: Cross multiply
    1,966.12x = 2,948.54 × 649.58
  4. Step 4: Simplify right side
    1,966.12x = 1,915,312.61
  5. Step 5: Solve for x
    x = 1,915,312.61/1,966.12
  6. Step 6: Final answer
    x = 974.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.