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Finding the Fourth Proportional to 10,752, 14,837.76 and 8,275.20

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Solution

The fourth proportional to 10,752, 14,837.76 and 8,275.20 is: 11,419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752 : 14,837.76 = 8,275.20 : x
  2. Step 2: Convert to fraction form
    10,752/14,837.76 = 8,275.20/x
  3. Step 3: Cross multiply
    10,752x = 14,837.76 × 8,275.20
  4. Step 4: Simplify right side
    10,752x = 122,785,431.55
  5. Step 5: Solve for x
    x = 122,785,431.55/10,752
  6. Step 6: Final answer
    x = 11,419.78

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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.