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Finding the Fourth Proportional to 7,806.99, 10,777.17 and 4,978.16

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Solution

The fourth proportional to 7,806.99, 10,777.17 and 4,978.16 is: 6,872.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.99 : 10,777.17 = 4,978.16 : x
  2. Step 2: Convert to fraction form
    7,806.99/10,777.17 = 4,978.16/x
  3. Step 3: Cross multiply
    7,806.99x = 10,777.17 × 4,978.16
  4. Step 4: Simplify right side
    7,806.99x = 53,650,451.72
  5. Step 5: Solve for x
    x = 53,650,451.72/7,806.99
  6. Step 6: Final answer
    x = 6,872.10

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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.