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Finding the Fourth Proportional to 7,197.32, 9,929.10 and 4,211.84

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Solution

The fourth proportional to 7,197.32, 9,929.10 and 4,211.84 is: 5,810.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.32 : 9,929.10 = 4,211.84 : x
  2. Step 2: Convert to fraction form
    7,197.32/9,929.10 = 4,211.84/x
  3. Step 3: Cross multiply
    7,197.32x = 9,929.10 × 4,211.84
  4. Step 4: Simplify right side
    7,197.32x = 41,819,730.90
  5. Step 5: Solve for x
    x = 41,819,730.90/7,197.32
  6. Step 6: Final answer
    x = 5,810.46

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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.