Home / 1,082.20-1,621.14-972.94

Finding the Fourth Proportional to 1,082.20, 1,621.14 and 972.94

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Solution

The fourth proportional to 1,082.20, 1,621.14 and 972.94 is: 1,457.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.20 : 1,621.14 = 972.94 : x
  2. Step 2: Convert to fraction form
    1,082.20/1,621.14 = 972.94/x
  3. Step 3: Cross multiply
    1,082.20x = 1,621.14 × 972.94
  4. Step 4: Simplify right side
    1,082.20x = 1,577,271.95
  5. Step 5: Solve for x
    x = 1,577,271.95/1,082.20
  6. Step 6: Final answer
    x = 1,457.47

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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.