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Finding the Fourth Proportional to 5,643.68, 7,796.24 and 4,080

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Solution

The fourth proportional to 5,643.68, 7,796.24 and 4,080 is: 5,636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.68 : 7,796.24 = 4,080 : x
  2. Step 2: Convert to fraction form
    5,643.68/7,796.24 = 4,080/x
  3. Step 3: Cross multiply
    5,643.68x = 7,796.24 × 4,080
  4. Step 4: Simplify right side
    5,643.68x = 31,808,659.20
  5. Step 5: Solve for x
    x = 31,808,659.20/5,643.68
  6. Step 6: Final answer
    x = 5,636.16

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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.