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Finding the Fourth Proportional to 13,671.90, 20,507.85 and 9,297.90

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Solution

The fourth proportional to 13,671.90, 20,507.85 and 9,297.90 is: 13,946.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.90 : 20,507.85 = 9,297.90 : x
  2. Step 2: Convert to fraction form
    13,671.90/20,507.85 = 9,297.90/x
  3. Step 3: Cross multiply
    13,671.90x = 20,507.85 × 9,297.90
  4. Step 4: Simplify right side
    13,671.90x = 190,679,938.52
  5. Step 5: Solve for x
    x = 190,679,938.52/13,671.90
  6. Step 6: Final answer
    x = 13,946.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.