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Finding the Fourth Proportional to 12,963.60, 19,472.12 and 8,535.06

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Solution

The fourth proportional to 12,963.60, 19,472.12 and 8,535.06 is: 12,820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.60 : 19,472.12 = 8,535.06 : x
  2. Step 2: Convert to fraction form
    12,963.60/19,472.12 = 8,535.06/x
  3. Step 3: Cross multiply
    12,963.60x = 19,472.12 × 8,535.06
  4. Step 4: Simplify right side
    12,963.60x = 166,195,712.53
  5. Step 5: Solve for x
    x = 166,195,712.53/12,963.60
  6. Step 6: Final answer
    x = 12,820.18

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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.