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Finding the Fourth Proportional to 7,827.75, 10,807.97 and 5,038.11

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Solution

The fourth proportional to 7,827.75, 10,807.97 and 5,038.11 is: 6,956.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.75 : 10,807.97 = 5,038.11 : x
  2. Step 2: Convert to fraction form
    7,827.75/10,807.97 = 5,038.11/x
  3. Step 3: Cross multiply
    7,827.75x = 10,807.97 × 5,038.11
  4. Step 4: Simplify right side
    7,827.75x = 54,451,716.55
  5. Step 5: Solve for x
    x = 54,451,716.55/7,827.75
  6. Step 6: Final answer
    x = 6,956.24

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1.5x scale

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.