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Finding the Fourth Proportional to 1,564.92, 2,158.92 and 1,041.12

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Solution

The fourth proportional to 1,564.92, 2,158.92 and 1,041.12 is: 1,436.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.92 : 2,158.92 = 1,041.12 : x
  2. Step 2: Convert to fraction form
    1,564.92/2,158.92 = 1,041.12/x
  3. Step 3: Cross multiply
    1,564.92x = 2,158.92 × 1,041.12
  4. Step 4: Simplify right side
    1,564.92x = 2,247,694.79
  5. Step 5: Solve for x
    x = 2,247,694.79/1,564.92
  6. Step 6: Final answer
    x = 1,436.30

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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.