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Finding the Fourth Proportional to 4,449.66, 6,666.82 and 2,947.74

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Solution

The fourth proportional to 4,449.66, 6,666.82 and 2,947.74 is: 4,416.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,449.66 : 6,666.82 = 2,947.74 : x
  2. Step 2: Convert to fraction form
    4,449.66/6,666.82 = 2,947.74/x
  3. Step 3: Cross multiply
    4,449.66x = 6,666.82 × 2,947.74
  4. Step 4: Simplify right side
    4,449.66x = 19,652,038.45
  5. Step 5: Solve for x
    x = 19,652,038.45/4,449.66
  6. Step 6: Final answer
    x = 4,416.53

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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.