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Finding the Fourth Proportional to 7,851.48, 11,777.16 and 2,008.08

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Solution

The fourth proportional to 7,851.48, 11,777.16 and 2,008.08 is: 3,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.48 : 11,777.16 = 2,008.08 : x
  2. Step 2: Convert to fraction form
    7,851.48/11,777.16 = 2,008.08/x
  3. Step 3: Cross multiply
    7,851.48x = 11,777.16 × 2,008.08
  4. Step 4: Simplify right side
    7,851.48x = 23,649,479.45
  5. Step 5: Solve for x
    x = 23,649,479.45/7,851.48
  6. Step 6: Final answer
    x = 3,012.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.