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Finding the Fourth Proportional to 2,913.50, 4,368.90 and 938.77

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Solution

The fourth proportional to 2,913.50, 4,368.90 and 938.77 is: 1,407.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.50 : 4,368.90 = 938.77 : x
  2. Step 2: Convert to fraction form
    2,913.50/4,368.90 = 938.77/x
  3. Step 3: Cross multiply
    2,913.50x = 4,368.90 × 938.77
  4. Step 4: Simplify right side
    2,913.50x = 4,101,384.85
  5. Step 5: Solve for x
    x = 4,101,384.85/2,913.50
  6. Step 6: Final answer
    x = 1,407.72

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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.