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Finding the Fourth Proportional to 7,430.60, 11,129.94 and 6,994.48

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Solution

The fourth proportional to 7,430.60, 11,129.94 and 6,994.48 is: 10,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430.60 : 11,129.94 = 6,994.48 : x
  2. Step 2: Convert to fraction form
    7,430.60/11,129.94 = 6,994.48/x
  3. Step 3: Cross multiply
    7,430.60x = 11,129.94 × 6,994.48
  4. Step 4: Simplify right side
    7,430.60x = 77,848,142.73
  5. Step 5: Solve for x
    x = 77,848,142.73/7,430.60
  6. Step 6: Final answer
    x = 10,476.70

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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.