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Finding the Fourth Proportional to 7,159.68, 9,880.35 and 4,015.86

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Solution

The fourth proportional to 7,159.68, 9,880.35 and 4,015.86 is: 5,541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.68 : 9,880.35 = 4,015.86 : x
  2. Step 2: Convert to fraction form
    7,159.68/9,880.35 = 4,015.86/x
  3. Step 3: Cross multiply
    7,159.68x = 9,880.35 × 4,015.86
  4. Step 4: Simplify right side
    7,159.68x = 39,678,102.35
  5. Step 5: Solve for x
    x = 39,678,102.35/7,159.68
  6. Step 6: Final answer
    x = 5,541.88

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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.