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Finding the Fourth Proportional to 10,980.96, 15,150.40 and 6,264.96

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Solution

The fourth proportional to 10,980.96, 15,150.40 and 6,264.96 is: 8,643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.96 : 15,150.40 = 6,264.96 : x
  2. Step 2: Convert to fraction form
    10,980.96/15,150.40 = 6,264.96/x
  3. Step 3: Cross multiply
    10,980.96x = 15,150.40 × 6,264.96
  4. Step 4: Simplify right side
    10,980.96x = 94,916,649.98
  5. Step 5: Solve for x
    x = 94,916,649.98/10,980.96
  6. Step 6: Final answer
    x = 8,643.75

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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.