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Finding the Fourth Proportional to 1,458.06, 2,009.10 and 1,351.80

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Solution

The fourth proportional to 1,458.06, 2,009.10 and 1,351.80 is: 1,862.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.06 : 2,009.10 = 1,351.80 : x
  2. Step 2: Convert to fraction form
    1,458.06/2,009.10 = 1,351.80/x
  3. Step 3: Cross multiply
    1,458.06x = 2,009.10 × 1,351.80
  4. Step 4: Simplify right side
    1,458.06x = 2,715,901.38
  5. Step 5: Solve for x
    x = 2,715,901.38/1,458.06
  6. Step 6: Final answer
    x = 1,862.68

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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.