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Finding the Fourth Proportional to 6,978.90, 10,465.92 and 2,047.20

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Solution

The fourth proportional to 6,978.90, 10,465.92 and 2,047.20 is: 3,070.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.90 : 10,465.92 = 2,047.20 : x
  2. Step 2: Convert to fraction form
    6,978.90/10,465.92 = 2,047.20/x
  3. Step 3: Cross multiply
    6,978.90x = 10,465.92 × 2,047.20
  4. Step 4: Simplify right side
    6,978.90x = 21,425,831.42
  5. Step 5: Solve for x
    x = 21,425,831.42/6,978.90
  6. Step 6: Final answer
    x = 3,070.09

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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.