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Finding the Fourth Proportional to 9,921.60, 14,752.08 and 9,662.40

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Solution

The fourth proportional to 9,921.60, 14,752.08 and 9,662.40 is: 14,366.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.60 : 14,752.08 = 9,662.40 : x
  2. Step 2: Convert to fraction form
    9,921.60/14,752.08 = 9,662.40/x
  3. Step 3: Cross multiply
    9,921.60x = 14,752.08 × 9,662.40
  4. Step 4: Simplify right side
    9,921.60x = 142,540,497.79
  5. Step 5: Solve for x
    x = 142,540,497.79/9,921.60
  6. Step 6: Final answer
    x = 14,366.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.