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Finding the Fourth Proportional to 7,149.88, 9,871.64 and 4,465.18

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Solution

The fourth proportional to 7,149.88, 9,871.64 and 4,465.18 is: 6,164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.88 : 9,871.64 = 4,465.18 : x
  2. Step 2: Convert to fraction form
    7,149.88/9,871.64 = 4,465.18/x
  3. Step 3: Cross multiply
    7,149.88x = 9,871.64 × 4,465.18
  4. Step 4: Simplify right side
    7,149.88x = 44,078,649.50
  5. Step 5: Solve for x
    x = 44,078,649.50/7,149.88
  6. Step 6: Final answer
    x = 6,164.95

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