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Finding the Fourth Proportional to 7,809.75, 11,719.17 and 3,130.20

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Solution

The fourth proportional to 7,809.75, 11,719.17 and 3,130.20 is: 4,697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.75 : 11,719.17 = 3,130.20 : x
  2. Step 2: Convert to fraction form
    7,809.75/11,719.17 = 3,130.20/x
  3. Step 3: Cross multiply
    7,809.75x = 11,719.17 × 3,130.20
  4. Step 4: Simplify right side
    7,809.75x = 36,683,345.93
  5. Step 5: Solve for x
    x = 36,683,345.93/7,809.75
  6. Step 6: Final answer
    x = 4,697.12

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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.