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Finding the Fourth Proportional to 6,578, 9,862.68 and 3,113.36

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Solution

The fourth proportional to 6,578, 9,862.68 and 3,113.36 is: 4,668.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578 : 9,862.68 = 3,113.36 : x
  2. Step 2: Convert to fraction form
    6,578/9,862.68 = 3,113.36/x
  3. Step 3: Cross multiply
    6,578x = 9,862.68 × 3,113.36
  4. Step 4: Simplify right side
    6,578x = 30,706,073.40
  5. Step 5: Solve for x
    x = 30,706,073.40/6,578
  6. Step 6: Final answer
    x = 4,668.00

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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.