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Finding the Fourth Proportional to 12,793.04, 17,657.16 and 7,827.92

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Solution

The fourth proportional to 12,793.04, 17,657.16 and 7,827.92 is: 10,804.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793.04 : 17,657.16 = 7,827.92 : x
  2. Step 2: Convert to fraction form
    12,793.04/17,657.16 = 7,827.92/x
  3. Step 3: Cross multiply
    12,793.04x = 17,657.16 × 7,827.92
  4. Step 4: Simplify right side
    12,793.04x = 138,218,835.91
  5. Step 5: Solve for x
    x = 138,218,835.91/12,793.04
  6. Step 6: Final answer
    x = 10,804.22

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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.