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Finding the Fourth Proportional to 7,875.11, 10,866.75 and 4,517

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Solution

The fourth proportional to 7,875.11, 10,866.75 and 4,517 is: 6,232.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.11 : 10,866.75 = 4,517 : x
  2. Step 2: Convert to fraction form
    7,875.11/10,866.75 = 4,517/x
  3. Step 3: Cross multiply
    7,875.11x = 10,866.75 × 4,517
  4. Step 4: Simplify right side
    7,875.11x = 49,085,109.75
  5. Step 5: Solve for x
    x = 49,085,109.75/7,875.11
  6. Step 6: Final answer
    x = 6,232.94

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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.