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Finding the Fourth Proportional to 6,680, 10,015.38 and 4,807.04

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Solution

The fourth proportional to 6,680, 10,015.38 and 4,807.04 is: 7,207.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680 : 10,015.38 = 4,807.04 : x
  2. Step 2: Convert to fraction form
    6,680/10,015.38 = 4,807.04/x
  3. Step 3: Cross multiply
    6,680x = 10,015.38 × 4,807.04
  4. Step 4: Simplify right side
    6,680x = 48,144,332.28
  5. Step 5: Solve for x
    x = 48,144,332.28/6,680
  6. Step 6: Final answer
    x = 7,207.24

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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.