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Finding the Fourth Proportional to 12,203.78, 16,830.98 and 9,681.90

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Solution

The fourth proportional to 12,203.78, 16,830.98 and 9,681.90 is: 13,352.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.78 : 16,830.98 = 9,681.90 : x
  2. Step 2: Convert to fraction form
    12,203.78/16,830.98 = 9,681.90/x
  3. Step 3: Cross multiply
    12,203.78x = 16,830.98 × 9,681.90
  4. Step 4: Simplify right side
    12,203.78x = 162,955,865.26
  5. Step 5: Solve for x
    x = 162,955,865.26/12,203.78
  6. Step 6: Final answer
    x = 13,352.90

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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.