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Finding the Fourth Proportional to 7,859, 10,851.90 and 6,875.66

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Solution

The fourth proportional to 7,859, 10,851.90 and 6,875.66 is: 9,494.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859 : 10,851.90 = 6,875.66 : x
  2. Step 2: Convert to fraction form
    7,859/10,851.90 = 6,875.66/x
  3. Step 3: Cross multiply
    7,859x = 10,851.90 × 6,875.66
  4. Step 4: Simplify right side
    7,859x = 74,613,974.75
  5. Step 5: Solve for x
    x = 74,613,974.75/7,859
  6. Step 6: Final answer
    x = 9,494.08

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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.