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Finding the Fourth Proportional to 5,315.78, 7,978.53 and 4,079.18

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Solution

The fourth proportional to 5,315.78, 7,978.53 and 4,079.18 is: 6,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.78 : 7,978.53 = 4,079.18 : x
  2. Step 2: Convert to fraction form
    5,315.78/7,978.53 = 4,079.18/x
  3. Step 3: Cross multiply
    5,315.78x = 7,978.53 × 4,079.18
  4. Step 4: Simplify right side
    5,315.78x = 32,545,860.01
  5. Step 5: Solve for x
    x = 32,545,860.01/5,315.78
  6. Step 6: Final answer
    x = 6,122.50

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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.