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Finding the Fourth Proportional to 7,695.40, 11,543.10 and 2,223.40

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Solution

The fourth proportional to 7,695.40, 11,543.10 and 2,223.40 is: 3,335.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.40 : 11,543.10 = 2,223.40 : x
  2. Step 2: Convert to fraction form
    7,695.40/11,543.10 = 2,223.40/x
  3. Step 3: Cross multiply
    7,695.40x = 11,543.10 × 2,223.40
  4. Step 4: Simplify right side
    7,695.40x = 25,664,928.54
  5. Step 5: Solve for x
    x = 25,664,928.54/7,695.40
  6. Step 6: Final answer
    x = 3,335.10

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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.