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Finding the Fourth Proportional to 2,901.76, 4,352.81 and 710.51

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Solution

The fourth proportional to 2,901.76, 4,352.81 and 710.51 is: 1,065.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.76 : 4,352.81 = 710.51 : x
  2. Step 2: Convert to fraction form
    2,901.76/4,352.81 = 710.51/x
  3. Step 3: Cross multiply
    2,901.76x = 4,352.81 × 710.51
  4. Step 4: Simplify right side
    2,901.76x = 3,092,689.72
  5. Step 5: Solve for x
    x = 3,092,689.72/2,901.76
  6. Step 6: Final answer
    x = 1,065.80

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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.