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Finding the Fourth Proportional to 2,874.70, 4,312.14 and 926.92

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Solution

The fourth proportional to 2,874.70, 4,312.14 and 926.92 is: 1,390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.70 : 4,312.14 = 926.92 : x
  2. Step 2: Convert to fraction form
    2,874.70/4,312.14 = 926.92/x
  3. Step 3: Cross multiply
    2,874.70x = 4,312.14 × 926.92
  4. Step 4: Simplify right side
    2,874.70x = 3,997,008.81
  5. Step 5: Solve for x
    x = 3,997,008.81/2,874.70
  6. Step 6: Final answer
    x = 1,390.41

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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.