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Finding the Fourth Proportional to 7,161.16, 9,880.38 and 4,643.38

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Solution

The fourth proportional to 7,161.16, 9,880.38 and 4,643.38 is: 6,406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.16 : 9,880.38 = 4,643.38 : x
  2. Step 2: Convert to fraction form
    7,161.16/9,880.38 = 4,643.38/x
  3. Step 3: Cross multiply
    7,161.16x = 9,880.38 × 4,643.38
  4. Step 4: Simplify right side
    7,161.16x = 45,878,358.88
  5. Step 5: Solve for x
    x = 45,878,358.88/7,161.16
  6. Step 6: Final answer
    x = 6,406.55

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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.