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Finding the Fourth Proportional to 11,903.80, 16,424.22 and 7,427.20

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Solution

The fourth proportional to 11,903.80, 16,424.22 and 7,427.20 is: 10,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,903.80 : 16,424.22 = 7,427.20 : x
  2. Step 2: Convert to fraction form
    11,903.80/16,424.22 = 7,427.20/x
  3. Step 3: Cross multiply
    11,903.80x = 16,424.22 × 7,427.20
  4. Step 4: Simplify right side
    11,903.80x = 121,985,966.78
  5. Step 5: Solve for x
    x = 121,985,966.78/11,903.80
  6. Step 6: Final answer
    x = 10,247.65

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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.