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Finding the Fourth Proportional to 5,709.15, 7,880.13 and 5,118.66

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Solution

The fourth proportional to 5,709.15, 7,880.13 and 5,118.66 is: 7,065.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.15 : 7,880.13 = 5,118.66 : x
  2. Step 2: Convert to fraction form
    5,709.15/7,880.13 = 5,118.66/x
  3. Step 3: Cross multiply
    5,709.15x = 7,880.13 × 5,118.66
  4. Step 4: Simplify right side
    5,709.15x = 40,335,706.23
  5. Step 5: Solve for x
    x = 40,335,706.23/5,709.15
  6. Step 6: Final answer
    x = 7,065.10

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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.