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Finding the Fourth Proportional to 10,565.85, 15,839.86 and 6,661.65

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Solution

The fourth proportional to 10,565.85, 15,839.86 and 6,661.65 is: 9,986.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.85 : 15,839.86 = 6,661.65 : x
  2. Step 2: Convert to fraction form
    10,565.85/15,839.86 = 6,661.65/x
  3. Step 3: Cross multiply
    10,565.85x = 15,839.86 × 6,661.65
  4. Step 4: Simplify right side
    10,565.85x = 105,519,570.06
  5. Step 5: Solve for x
    x = 105,519,570.06/10,565.85
  6. Step 6: Final answer
    x = 9,986.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.