Home / 1,381.20-2,070.56-972.96

Finding the Fourth Proportional to 1,381.20, 2,070.56 and 972.96

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Solution

The fourth proportional to 1,381.20, 2,070.56 and 972.96 is: 1,458.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.20 : 2,070.56 = 972.96 : x
  2. Step 2: Convert to fraction form
    1,381.20/2,070.56 = 972.96/x
  3. Step 3: Cross multiply
    1,381.20x = 2,070.56 × 972.96
  4. Step 4: Simplify right side
    1,381.20x = 2,014,572.06
  5. Step 5: Solve for x
    x = 2,014,572.06/1,381.20
  6. Step 6: Final answer
    x = 1,458.57

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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.