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Finding the Fourth Proportional to 12,253.76, 16,919.72 and 9,416.64

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Solution

The fourth proportional to 12,253.76, 16,919.72 and 9,416.64 is: 13,002.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,253.76 : 16,919.72 = 9,416.64 : x
  2. Step 2: Convert to fraction form
    12,253.76/16,919.72 = 9,416.64/x
  3. Step 3: Cross multiply
    12,253.76x = 16,919.72 × 9,416.64
  4. Step 4: Simplify right side
    12,253.76x = 159,326,865.06
  5. Step 5: Solve for x
    x = 159,326,865.06/12,253.76
  6. Step 6: Final answer
    x = 13,002.29

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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.