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Finding the Fourth Proportional to 1,715.76, 2,572.12 and 825.77

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Solution

The fourth proportional to 1,715.76, 2,572.12 and 825.77 is: 1,237.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.76 : 2,572.12 = 825.77 : x
  2. Step 2: Convert to fraction form
    1,715.76/2,572.12 = 825.77/x
  3. Step 3: Cross multiply
    1,715.76x = 2,572.12 × 825.77
  4. Step 4: Simplify right side
    1,715.76x = 2,123,979.53
  5. Step 5: Solve for x
    x = 2,123,979.53/1,715.76
  6. Step 6: Final answer
    x = 1,237.92

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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.