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Finding the Fourth Proportional to 9,189.60, 12,681.60 and 6,835.20

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Solution

The fourth proportional to 9,189.60, 12,681.60 and 6,835.20 is: 9,432.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.60 : 12,681.60 = 6,835.20 : x
  2. Step 2: Convert to fraction form
    9,189.60/12,681.60 = 6,835.20/x
  3. Step 3: Cross multiply
    9,189.60x = 12,681.60 × 6,835.20
  4. Step 4: Simplify right side
    9,189.60x = 86,681,272.32
  5. Step 5: Solve for x
    x = 86,681,272.32/9,189.60
  6. Step 6: Final answer
    x = 9,432.54

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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.