Home / 1,534.47-2,296.20-1,431.48

Finding the Fourth Proportional to 1,534.47, 2,296.20 and 1,431.48

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Solution

The fourth proportional to 1,534.47, 2,296.20 and 1,431.48 is: 2,142.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.47 : 2,296.20 = 1,431.48 : x
  2. Step 2: Convert to fraction form
    1,534.47/2,296.20 = 1,431.48/x
  3. Step 3: Cross multiply
    1,534.47x = 2,296.20 × 1,431.48
  4. Step 4: Simplify right side
    1,534.47x = 3,286,964.38
  5. Step 5: Solve for x
    x = 3,286,964.38/1,534.47
  6. Step 6: Final answer
    x = 2,142.08

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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.