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Finding the Fourth Proportional to 3,038.39, 4,557.49 and 958.40

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Solution

The fourth proportional to 3,038.39, 4,557.49 and 958.40 is: 1,437.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.39 : 4,557.49 = 958.40 : x
  2. Step 2: Convert to fraction form
    3,038.39/4,557.49 = 958.40/x
  3. Step 3: Cross multiply
    3,038.39x = 4,557.49 × 958.40
  4. Step 4: Simplify right side
    3,038.39x = 4,367,898.42
  5. Step 5: Solve for x
    x = 4,367,898.42/3,038.39
  6. Step 6: Final answer
    x = 1,437.57

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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.