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Finding the Fourth Proportional to 17,877.16, 24,670.48 and 9,919.39

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Solution

The fourth proportional to 17,877.16, 24,670.48 and 9,919.39 is: 13,688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,877.16 : 24,670.48 = 9,919.39 : x
  2. Step 2: Convert to fraction form
    17,877.16/24,670.48 = 9,919.39/x
  3. Step 3: Cross multiply
    17,877.16x = 24,670.48 × 9,919.39
  4. Step 4: Simplify right side
    17,877.16x = 244,716,112.61
  5. Step 5: Solve for x
    x = 244,716,112.61/17,877.16
  6. Step 6: Final answer
    x = 13,688.76

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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.