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Finding the Fourth Proportional to 11,340.64, 15,649.68 and 6,628

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Solution

The fourth proportional to 11,340.64, 15,649.68 and 6,628 is: 9,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340.64 : 15,649.68 = 6,628 : x
  2. Step 2: Convert to fraction form
    11,340.64/15,649.68 = 6,628/x
  3. Step 3: Cross multiply
    11,340.64x = 15,649.68 × 6,628
  4. Step 4: Simplify right side
    11,340.64x = 103,726,079.04
  5. Step 5: Solve for x
    x = 103,726,079.04/11,340.64
  6. Step 6: Final answer
    x = 9,146.40

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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.