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Finding the Fourth Proportional to 17,738, 24,478.16 and 9,780.98

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Solution

The fourth proportional to 17,738, 24,478.16 and 9,780.98 is: 13,497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738 : 24,478.16 = 9,780.98 : x
  2. Step 2: Convert to fraction form
    17,738/24,478.16 = 9,780.98/x
  3. Step 3: Cross multiply
    17,738x = 24,478.16 × 9,780.98
  4. Step 4: Simplify right side
    17,738x = 239,420,393.40
  5. Step 5: Solve for x
    x = 239,420,393.40/17,738
  6. Step 6: Final answer
    x = 13,497.60

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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.