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Finding the Fourth Proportional to 1,275.64, 1,910.82 and 1,030.84

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Solution

The fourth proportional to 1,275.64, 1,910.82 and 1,030.84 is: 1,544.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.64 : 1,910.82 = 1,030.84 : x
  2. Step 2: Convert to fraction form
    1,275.64/1,910.82 = 1,030.84/x
  3. Step 3: Cross multiply
    1,275.64x = 1,910.82 × 1,030.84
  4. Step 4: Simplify right side
    1,275.64x = 1,969,749.69
  5. Step 5: Solve for x
    x = 1,969,749.69/1,275.64
  6. Step 6: Final answer
    x = 1,544.13

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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.