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Finding the Fourth Proportional to 17,765.56, 24,514.04 and 9,807.78

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Solution

The fourth proportional to 17,765.56, 24,514.04 and 9,807.78 is: 13,533.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765.56 : 24,514.04 = 9,807.78 : x
  2. Step 2: Convert to fraction form
    17,765.56/24,514.04 = 9,807.78/x
  3. Step 3: Cross multiply
    17,765.56x = 24,514.04 × 9,807.78
  4. Step 4: Simplify right side
    17,765.56x = 240,428,427.68
  5. Step 5: Solve for x
    x = 240,428,427.68/17,765.56
  6. Step 6: Final answer
    x = 13,533.40

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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.