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Finding the Fourth Proportional to 10,275, 14,179.50 and 6,551.16

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Solution

The fourth proportional to 10,275, 14,179.50 and 6,551.16 is: 9,040.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275 : 14,179.50 = 6,551.16 : x
  2. Step 2: Convert to fraction form
    10,275/14,179.50 = 6,551.16/x
  3. Step 3: Cross multiply
    10,275x = 14,179.50 × 6,551.16
  4. Step 4: Simplify right side
    10,275x = 92,892,173.22
  5. Step 5: Solve for x
    x = 92,892,173.22/10,275
  6. Step 6: Final answer
    x = 9,040.60

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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.