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Finding the Fourth Proportional to 2,190.76, 3,285.66 and 652.04

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Solution

The fourth proportional to 2,190.76, 3,285.66 and 652.04 is: 977.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.76 : 3,285.66 = 652.04 : x
  2. Step 2: Convert to fraction form
    2,190.76/3,285.66 = 652.04/x
  3. Step 3: Cross multiply
    2,190.76x = 3,285.66 × 652.04
  4. Step 4: Simplify right side
    2,190.76x = 2,142,381.75
  5. Step 5: Solve for x
    x = 2,142,381.75/2,190.76
  6. Step 6: Final answer
    x = 977.92

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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.