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Finding the Fourth Proportional to 7,661.61, 10,574.01 and 4,518

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Solution

The fourth proportional to 7,661.61, 10,574.01 and 4,518 is: 6,235.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.61 : 10,574.01 = 4,518 : x
  2. Step 2: Convert to fraction form
    7,661.61/10,574.01 = 4,518/x
  3. Step 3: Cross multiply
    7,661.61x = 10,574.01 × 4,518
  4. Step 4: Simplify right side
    7,661.61x = 47,773,377.18
  5. Step 5: Solve for x
    x = 47,773,377.18/7,661.61
  6. Step 6: Final answer
    x = 6,235.42

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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.