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Finding the Fourth Proportional to 6,851.87, 9,447.69 and 5,061.93

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Solution

The fourth proportional to 6,851.87, 9,447.69 and 5,061.93 is: 6,979.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.87 : 9,447.69 = 5,061.93 : x
  2. Step 2: Convert to fraction form
    6,851.87/9,447.69 = 5,061.93/x
  3. Step 3: Cross multiply
    6,851.87x = 9,447.69 × 5,061.93
  4. Step 4: Simplify right side
    6,851.87x = 47,823,569.06
  5. Step 5: Solve for x
    x = 47,823,569.06/6,851.87
  6. Step 6: Final answer
    x = 6,979.64

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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.