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Finding the Fourth Proportional to 17,855.12, 24,641.54 and 9,899.84

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Solution

The fourth proportional to 17,855.12, 24,641.54 and 9,899.84 is: 13,662.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,855.12 : 24,641.54 = 9,899.84 : x
  2. Step 2: Convert to fraction form
    17,855.12/24,641.54 = 9,899.84/x
  3. Step 3: Cross multiply
    17,855.12x = 24,641.54 × 9,899.84
  4. Step 4: Simplify right side
    17,855.12x = 243,947,303.35
  5. Step 5: Solve for x
    x = 243,947,303.35/17,855.12
  6. Step 6: Final answer
    x = 13,662.60

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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.