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Finding the Fourth Proportional to 7,711.86, 10,642.47 and 4,686.12

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Solution

The fourth proportional to 7,711.86, 10,642.47 and 4,686.12 is: 6,466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.86 : 10,642.47 = 4,686.12 : x
  2. Step 2: Convert to fraction form
    7,711.86/10,642.47 = 4,686.12/x
  3. Step 3: Cross multiply
    7,711.86x = 10,642.47 × 4,686.12
  4. Step 4: Simplify right side
    7,711.86x = 49,871,891.52
  5. Step 5: Solve for x
    x = 49,871,891.52/7,711.86
  6. Step 6: Final answer
    x = 6,466.91

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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.