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Finding the Fourth Proportional to 12,261.20, 16,925.64 and 7,785.20

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Solution

The fourth proportional to 12,261.20, 16,925.64 and 7,785.20 is: 10,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,261.20 : 16,925.64 = 7,785.20 : x
  2. Step 2: Convert to fraction form
    12,261.20/16,925.64 = 7,785.20/x
  3. Step 3: Cross multiply
    12,261.20x = 16,925.64 × 7,785.20
  4. Step 4: Simplify right side
    12,261.20x = 131,769,492.53
  5. Step 5: Solve for x
    x = 131,769,492.53/12,261.20
  6. Step 6: Final answer
    x = 10,746.87

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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.