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Finding the Fourth Proportional to 5,117.40, 7,676.10 and 4,947.30

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Solution

The fourth proportional to 5,117.40, 7,676.10 and 4,947.30 is: 7,420.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.40 : 7,676.10 = 4,947.30 : x
  2. Step 2: Convert to fraction form
    5,117.40/7,676.10 = 4,947.30/x
  3. Step 3: Cross multiply
    5,117.40x = 7,676.10 × 4,947.30
  4. Step 4: Simplify right side
    5,117.40x = 37,975,969.53
  5. Step 5: Solve for x
    x = 37,975,969.53/5,117.40
  6. Step 6: Final answer
    x = 7,420.95

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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.