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Finding the Fourth Proportional to 7,866.66, 10,856.28 and 4,330.02

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Solution

The fourth proportional to 7,866.66, 10,856.28 and 4,330.02 is: 5,975.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.66 : 10,856.28 = 4,330.02 : x
  2. Step 2: Convert to fraction form
    7,866.66/10,856.28 = 4,330.02/x
  3. Step 3: Cross multiply
    7,866.66x = 10,856.28 × 4,330.02
  4. Step 4: Simplify right side
    7,866.66x = 47,007,909.53
  5. Step 5: Solve for x
    x = 47,007,909.53/7,866.66
  6. Step 6: Final answer
    x = 5,975.59

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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.