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Finding the Fourth Proportional to 1,473.67, 2,210.51 and 861.65

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Solution

The fourth proportional to 1,473.67, 2,210.51 and 861.65 is: 1,292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.67 : 2,210.51 = 861.65 : x
  2. Step 2: Convert to fraction form
    1,473.67/2,210.51 = 861.65/x
  3. Step 3: Cross multiply
    1,473.67x = 2,210.51 × 861.65
  4. Step 4: Simplify right side
    1,473.67x = 1,904,685.94
  5. Step 5: Solve for x
    x = 1,904,685.94/1,473.67
  6. Step 6: Final answer
    x = 1,292.48

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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.