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Finding the Fourth Proportional to 9,189.60, 13,798.80 and 5,301.60

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Solution

The fourth proportional to 9,189.60, 13,798.80 and 5,301.60 is: 7,960.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.60 : 13,798.80 = 5,301.60 : x
  2. Step 2: Convert to fraction form
    9,189.60/13,798.80 = 5,301.60/x
  3. Step 3: Cross multiply
    9,189.60x = 13,798.80 × 5,301.60
  4. Step 4: Simplify right side
    9,189.60x = 73,155,718.08
  5. Step 5: Solve for x
    x = 73,155,718.08/9,189.60
  6. Step 6: Final answer
    x = 7,960.71

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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.