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Finding the Fourth Proportional to 10,909.60, 16,407.60 and 9,786.40

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Solution

The fourth proportional to 10,909.60, 16,407.60 and 9,786.40 is: 14,718.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.60 : 16,407.60 = 9,786.40 : x
  2. Step 2: Convert to fraction form
    10,909.60/16,407.60 = 9,786.40/x
  3. Step 3: Cross multiply
    10,909.60x = 16,407.60 × 9,786.40
  4. Step 4: Simplify right side
    10,909.60x = 160,571,336.64
  5. Step 5: Solve for x
    x = 160,571,336.64/10,909.60
  6. Step 6: Final answer
    x = 14,718.35

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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.