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Finding the Fourth Proportional to 5,242.95, 7,866.31 and 2,643.93

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Solution

The fourth proportional to 5,242.95, 7,866.31 and 2,643.93 is: 3,966.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.95 : 7,866.31 = 2,643.93 : x
  2. Step 2: Convert to fraction form
    5,242.95/7,866.31 = 2,643.93/x
  3. Step 3: Cross multiply
    5,242.95x = 7,866.31 × 2,643.93
  4. Step 4: Simplify right side
    5,242.95x = 20,797,973.00
  5. Step 5: Solve for x
    x = 20,797,973.00/5,242.95
  6. Step 6: Final answer
    x = 3,966.85

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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.