Home / 1,520.10-2,097.38-922.46

Finding the Fourth Proportional to 1,520.10, 2,097.38 and 922.46

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Solution

The fourth proportional to 1,520.10, 2,097.38 and 922.46 is: 1,272.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.10 : 2,097.38 = 922.46 : x
  2. Step 2: Convert to fraction form
    1,520.10/2,097.38 = 922.46/x
  3. Step 3: Cross multiply
    1,520.10x = 2,097.38 × 922.46
  4. Step 4: Simplify right side
    1,520.10x = 1,934,740.97
  5. Step 5: Solve for x
    x = 1,934,740.97/1,520.10
  6. Step 6: Final answer
    x = 1,272.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.