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Finding the Fourth Proportional to 2,102.77, 3,152.49 and 870.76

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Solution

The fourth proportional to 2,102.77, 3,152.49 and 870.76 is: 1,305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.77 : 3,152.49 = 870.76 : x
  2. Step 2: Convert to fraction form
    2,102.77/3,152.49 = 870.76/x
  3. Step 3: Cross multiply
    2,102.77x = 3,152.49 × 870.76
  4. Step 4: Simplify right side
    2,102.77x = 2,745,062.19
  5. Step 5: Solve for x
    x = 2,745,062.19/2,102.77
  6. Step 6: Final answer
    x = 1,305.45

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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.