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Finding the Fourth Proportional to 7,157.16, 9,881.46 and 6,409.80

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Solution

The fourth proportional to 7,157.16, 9,881.46 and 6,409.80 is: 8,849.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.16 : 9,881.46 = 6,409.80 : x
  2. Step 2: Convert to fraction form
    7,157.16/9,881.46 = 6,409.80/x
  3. Step 3: Cross multiply
    7,157.16x = 9,881.46 × 6,409.80
  4. Step 4: Simplify right side
    7,157.16x = 63,338,182.31
  5. Step 5: Solve for x
    x = 63,338,182.31/7,157.16
  6. Step 6: Final answer
    x = 8,849.63

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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.