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Finding the Fourth Proportional to 3,071.79, 4,607.53 and 991.76

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Solution

The fourth proportional to 3,071.79, 4,607.53 and 991.76 is: 1,487.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.79 : 4,607.53 = 991.76 : x
  2. Step 2: Convert to fraction form
    3,071.79/4,607.53 = 991.76/x
  3. Step 3: Cross multiply
    3,071.79x = 4,607.53 × 991.76
  4. Step 4: Simplify right side
    3,071.79x = 4,569,535.96
  5. Step 5: Solve for x
    x = 4,569,535.96/3,071.79
  6. Step 6: Final answer
    x = 1,487.58

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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.