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Finding the Fourth Proportional to 7,442.70, 11,219.35 and 6,411.16

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Solution

The fourth proportional to 7,442.70, 11,219.35 and 6,411.16 is: 9,664.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.70 : 11,219.35 = 6,411.16 : x
  2. Step 2: Convert to fraction form
    7,442.70/11,219.35 = 6,411.16/x
  3. Step 3: Cross multiply
    7,442.70x = 11,219.35 × 6,411.16
  4. Step 4: Simplify right side
    7,442.70x = 71,929,047.95
  5. Step 5: Solve for x
    x = 71,929,047.95/7,442.70
  6. Step 6: Final answer
    x = 9,664.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.