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Finding the Fourth Proportional to 2,458.04, 3,686.04 and 814.16

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Solution

The fourth proportional to 2,458.04, 3,686.04 and 814.16 is: 1,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.04 : 3,686.04 = 814.16 : x
  2. Step 2: Convert to fraction form
    2,458.04/3,686.04 = 814.16/x
  3. Step 3: Cross multiply
    2,458.04x = 3,686.04 × 814.16
  4. Step 4: Simplify right side
    2,458.04x = 3,001,026.33
  5. Step 5: Solve for x
    x = 3,001,026.33/2,458.04
  6. Step 6: Final answer
    x = 1,220.90

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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.