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Finding the Fourth Proportional to 9,856.80, 13,612.08 and 8,432.40

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Solution

The fourth proportional to 9,856.80, 13,612.08 and 8,432.40 is: 11,645.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.80 : 13,612.08 = 8,432.40 : x
  2. Step 2: Convert to fraction form
    9,856.80/13,612.08 = 8,432.40/x
  3. Step 3: Cross multiply
    9,856.80x = 13,612.08 × 8,432.40
  4. Step 4: Simplify right side
    9,856.80x = 114,782,503.39
  5. Step 5: Solve for x
    x = 114,782,503.39/9,856.80
  6. Step 6: Final answer
    x = 11,645.01

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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.