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Finding the Fourth Proportional to 3,038.50, 4,557.78 and 958.46

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Solution

The fourth proportional to 3,038.50, 4,557.78 and 958.46 is: 1,437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.50 : 4,557.78 = 958.46 : x
  2. Step 2: Convert to fraction form
    3,038.50/4,557.78 = 958.46/x
  3. Step 3: Cross multiply
    3,038.50x = 4,557.78 × 958.46
  4. Step 4: Simplify right side
    3,038.50x = 4,368,449.82
  5. Step 5: Solve for x
    x = 4,368,449.82/3,038.50
  6. Step 6: Final answer
    x = 1,437.70

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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.