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Finding the Fourth Proportional to 5,275.29, 7,913.48 and 1,991.15

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Solution

The fourth proportional to 5,275.29, 7,913.48 and 1,991.15 is: 2,986.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,275.29 : 7,913.48 = 1,991.15 : x
  2. Step 2: Convert to fraction form
    5,275.29/7,913.48 = 1,991.15/x
  3. Step 3: Cross multiply
    5,275.29x = 7,913.48 × 1,991.15
  4. Step 4: Simplify right side
    5,275.29x = 15,756,925.70
  5. Step 5: Solve for x
    x = 15,756,925.70/5,275.29
  6. Step 6: Final answer
    x = 2,986.93

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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.