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Finding the Fourth Proportional to 17,785.61, 24,543.86 and 9,719.09

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Solution

The fourth proportional to 17,785.61, 24,543.86 and 9,719.09 is: 13,412.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.61 : 24,543.86 = 9,719.09 : x
  2. Step 2: Convert to fraction form
    17,785.61/24,543.86 = 9,719.09/x
  3. Step 3: Cross multiply
    17,785.61x = 24,543.86 × 9,719.09
  4. Step 4: Simplify right side
    17,785.61x = 238,543,905.01
  5. Step 5: Solve for x
    x = 238,543,905.01/17,785.61
  6. Step 6: Final answer
    x = 13,412.19

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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.