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Finding the Fourth Proportional to 6,897.20, 10,346.20 and 1,967.20

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Solution

The fourth proportional to 6,897.20, 10,346.20 and 1,967.20 is: 2,950.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.20 : 10,346.20 = 1,967.20 : x
  2. Step 2: Convert to fraction form
    6,897.20/10,346.20 = 1,967.20/x
  3. Step 3: Cross multiply
    6,897.20x = 10,346.20 × 1,967.20
  4. Step 4: Simplify right side
    6,897.20x = 20,353,044.64
  5. Step 5: Solve for x
    x = 20,353,044.64/6,897.20
  6. Step 6: Final answer
    x = 2,950.91

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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.