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Finding the Fourth Proportional to 5,047.16, 6,965.15 and 2,809.13

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Solution

The fourth proportional to 5,047.16, 6,965.15 and 2,809.13 is: 3,876.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.16 : 6,965.15 = 2,809.13 : x
  2. Step 2: Convert to fraction form
    5,047.16/6,965.15 = 2,809.13/x
  3. Step 3: Cross multiply
    5,047.16x = 6,965.15 × 2,809.13
  4. Step 4: Simplify right side
    5,047.16x = 19,565,962.95
  5. Step 5: Solve for x
    x = 19,565,962.95/5,047.16
  6. Step 6: Final answer
    x = 3,876.63

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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.