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Finding the Fourth Proportional to 1,710.81, 2,564.31 and 1,301.76

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Solution

The fourth proportional to 1,710.81, 2,564.31 and 1,301.76 is: 1,951.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.81 : 2,564.31 = 1,301.76 : x
  2. Step 2: Convert to fraction form
    1,710.81/2,564.31 = 1,301.76/x
  3. Step 3: Cross multiply
    1,710.81x = 2,564.31 × 1,301.76
  4. Step 4: Simplify right side
    1,710.81x = 3,338,116.19
  5. Step 5: Solve for x
    x = 3,338,116.19/1,710.81
  6. Step 6: Final answer
    x = 1,951.19

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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.