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Finding the Fourth Proportional to 7,700.96, 10,617 and 5,047.40

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Solution

The fourth proportional to 7,700.96, 10,617 and 5,047.40 is: 6,958.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.96 : 10,617 = 5,047.40 : x
  2. Step 2: Convert to fraction form
    7,700.96/10,617 = 5,047.40/x
  3. Step 3: Cross multiply
    7,700.96x = 10,617 × 5,047.40
  4. Step 4: Simplify right side
    7,700.96x = 53,588,245.80
  5. Step 5: Solve for x
    x = 53,588,245.80/7,700.96
  6. Step 6: Final answer
    x = 6,958.64

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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.