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Finding the Fourth Proportional to 3,959, 5,463.51 and 2,564.18

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Solution

The fourth proportional to 3,959, 5,463.51 and 2,564.18 is: 3,538.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959 : 5,463.51 = 2,564.18 : x
  2. Step 2: Convert to fraction form
    3,959/5,463.51 = 2,564.18/x
  3. Step 3: Cross multiply
    3,959x = 5,463.51 × 2,564.18
  4. Step 4: Simplify right side
    3,959x = 14,009,423.07
  5. Step 5: Solve for x
    x = 14,009,423.07/3,959
  6. Step 6: Final answer
    x = 3,538.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.