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Finding the Fourth Proportional to 7,909.77, 11,870.19 and 5,835.15

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Solution

The fourth proportional to 7,909.77, 11,870.19 and 5,835.15 is: 8,756.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.77 : 11,870.19 = 5,835.15 : x
  2. Step 2: Convert to fraction form
    7,909.77/11,870.19 = 5,835.15/x
  3. Step 3: Cross multiply
    7,909.77x = 11,870.19 × 5,835.15
  4. Step 4: Simplify right side
    7,909.77x = 69,264,339.18
  5. Step 5: Solve for x
    x = 69,264,339.18/7,909.77
  6. Step 6: Final answer
    x = 8,756.81

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Why These Related Problems?

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