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Finding the Fourth Proportional to 3,071, 4,607.18 and 1,123.16

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Solution

The fourth proportional to 3,071, 4,607.18 and 1,123.16 is: 1,684.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071 : 4,607.18 = 1,123.16 : x
  2. Step 2: Convert to fraction form
    3,071/4,607.18 = 1,123.16/x
  3. Step 3: Cross multiply
    3,071x = 4,607.18 × 1,123.16
  4. Step 4: Simplify right side
    3,071x = 5,174,600.29
  5. Step 5: Solve for x
    x = 5,174,600.29/3,071
  6. Step 6: Final answer
    x = 1,684.99

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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.