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Finding the Fourth Proportional to 3,070.97, 4,605.80 and 991.16

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Solution

The fourth proportional to 3,070.97, 4,605.80 and 991.16 is: 1,486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.97 : 4,605.80 = 991.16 : x
  2. Step 2: Convert to fraction form
    3,070.97/4,605.80 = 991.16/x
  3. Step 3: Cross multiply
    3,070.97x = 4,605.80 × 991.16
  4. Step 4: Simplify right side
    3,070.97x = 4,565,084.73
  5. Step 5: Solve for x
    x = 4,565,084.73/3,070.97
  6. Step 6: Final answer
    x = 1,486.53

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1.5x scale

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.