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Finding the Fourth Proportional to 7,144.74, 9,862.16 and 4,914

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Solution

The fourth proportional to 7,144.74, 9,862.16 and 4,914 is: 6,782.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.74 : 9,862.16 = 4,914 : x
  2. Step 2: Convert to fraction form
    7,144.74/9,862.16 = 4,914/x
  3. Step 3: Cross multiply
    7,144.74x = 9,862.16 × 4,914
  4. Step 4: Simplify right side
    7,144.74x = 48,462,629.67
  5. Step 5: Solve for x
    x = 48,462,629.67/7,144.74
  6. Step 6: Final answer
    x = 6,782.98

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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.