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Finding the Fourth Proportional to 3,071.95, 4,607.71 and 763.45

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Solution

The fourth proportional to 3,071.95, 4,607.71 and 763.45 is: 1,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.95 : 4,607.71 = 763.45 : x
  2. Step 2: Convert to fraction form
    3,071.95/4,607.71 = 763.45/x
  3. Step 3: Cross multiply
    3,071.95x = 4,607.71 × 763.45
  4. Step 4: Simplify right side
    3,071.95x = 3,517,756.20
  5. Step 5: Solve for x
    x = 3,517,756.20/3,071.95
  6. Step 6: Final answer
    x = 1,145.12

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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.