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Finding the Fourth Proportional to 12,953.20, 19,413.80 and 8,793.20

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Solution

The fourth proportional to 12,953.20, 19,413.80 and 8,793.20 is: 13,178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953.20 : 19,413.80 = 8,793.20 : x
  2. Step 2: Convert to fraction form
    12,953.20/19,413.80 = 8,793.20/x
  3. Step 3: Cross multiply
    12,953.20x = 19,413.80 × 8,793.20
  4. Step 4: Simplify right side
    12,953.20x = 170,709,426.16
  5. Step 5: Solve for x
    x = 170,709,426.16/12,953.20
  6. Step 6: Final answer
    x = 13,178.94

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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.