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Finding the Fourth Proportional to 7,914.40, 10,924.12 and 4,770.78

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Solution

The fourth proportional to 7,914.40, 10,924.12 and 4,770.78 is: 6,585.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.40 : 10,924.12 = 4,770.78 : x
  2. Step 2: Convert to fraction form
    7,914.40/10,924.12 = 4,770.78/x
  3. Step 3: Cross multiply
    7,914.40x = 10,924.12 × 4,770.78
  4. Step 4: Simplify right side
    7,914.40x = 52,116,573.21
  5. Step 5: Solve for x
    x = 52,116,573.21/7,914.40
  6. Step 6: Final answer
    x = 6,585.03

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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.