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Finding the Fourth Proportional to 3,071.17, 4,607.65 and 991.13

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Solution

The fourth proportional to 3,071.17, 4,607.65 and 991.13 is: 1,486.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.17 : 4,607.65 = 991.13 : x
  2. Step 2: Convert to fraction form
    3,071.17/4,607.65 = 991.13/x
  3. Step 3: Cross multiply
    3,071.17x = 4,607.65 × 991.13
  4. Step 4: Simplify right side
    3,071.17x = 4,566,780.14
  5. Step 5: Solve for x
    x = 4,566,780.14/3,071.17
  6. Step 6: Final answer
    x = 1,486.98

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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.