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Finding the Fourth Proportional to 7,666.60, 10,578.99 and 4,309

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Solution

The fourth proportional to 7,666.60, 10,578.99 and 4,309 is: 5,945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.60 : 10,578.99 = 4,309 : x
  2. Step 2: Convert to fraction form
    7,666.60/10,578.99 = 4,309/x
  3. Step 3: Cross multiply
    7,666.60x = 10,578.99 × 4,309
  4. Step 4: Simplify right side
    7,666.60x = 45,584,867.91
  5. Step 5: Solve for x
    x = 45,584,867.91/7,666.60
  6. Step 6: Final answer
    x = 5,945.90

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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.