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Finding the Fourth Proportional to 9,606.40, 14,380.80 and 9,036.80

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Solution

The fourth proportional to 9,606.40, 14,380.80 and 9,036.80 is: 13,528.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.40 : 14,380.80 = 9,036.80 : x
  2. Step 2: Convert to fraction form
    9,606.40/14,380.80 = 9,036.80/x
  3. Step 3: Cross multiply
    9,606.40x = 14,380.80 × 9,036.80
  4. Step 4: Simplify right side
    9,606.40x = 129,956,413.44
  5. Step 5: Solve for x
    x = 129,956,413.44/9,606.40
  6. Step 6: Final answer
    x = 13,528.11

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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.