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Finding the Fourth Proportional to 9,221.56, 13,834.78 and 2,648.20

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Solution

The fourth proportional to 9,221.56, 13,834.78 and 2,648.20 is: 3,973.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.56 : 13,834.78 = 2,648.20 : x
  2. Step 2: Convert to fraction form
    9,221.56/13,834.78 = 2,648.20/x
  3. Step 3: Cross multiply
    9,221.56x = 13,834.78 × 2,648.20
  4. Step 4: Simplify right side
    9,221.56x = 36,637,264.40
  5. Step 5: Solve for x
    x = 36,637,264.40/9,221.56
  6. Step 6: Final answer
    x = 3,973.00

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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.