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Finding the Fourth Proportional to 9,027.74, 12,430.59 and 7,902.38

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Solution

The fourth proportional to 9,027.74, 12,430.59 and 7,902.38 is: 10,881.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,027.74 : 12,430.59 = 7,902.38 : x
  2. Step 2: Convert to fraction form
    9,027.74/12,430.59 = 7,902.38/x
  3. Step 3: Cross multiply
    9,027.74x = 12,430.59 × 7,902.38
  4. Step 4: Simplify right side
    9,027.74x = 98,231,245.80
  5. Step 5: Solve for x
    x = 98,231,245.80/9,027.74
  6. Step 6: Final answer
    x = 10,881.05

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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.