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Finding the Fourth Proportional to 7,385, 11,070.18 and 3,482.48

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Solution

The fourth proportional to 7,385, 11,070.18 and 3,482.48 is: 5,220.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,385 : 11,070.18 = 3,482.48 : x
  2. Step 2: Convert to fraction form
    7,385/11,070.18 = 3,482.48/x
  3. Step 3: Cross multiply
    7,385x = 11,070.18 × 3,482.48
  4. Step 4: Simplify right side
    7,385x = 38,551,680.45
  5. Step 5: Solve for x
    x = 38,551,680.45/7,385
  6. Step 6: Final answer
    x = 5,220.27

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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.