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Finding the Fourth Proportional to 7,518, 10,374.84 and 4,206

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Solution

The fourth proportional to 7,518, 10,374.84 and 4,206 is: 5,804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,518 : 10,374.84 = 4,206 : x
  2. Step 2: Convert to fraction form
    7,518/10,374.84 = 4,206/x
  3. Step 3: Cross multiply
    7,518x = 10,374.84 × 4,206
  4. Step 4: Simplify right side
    7,518x = 43,636,577.04
  5. Step 5: Solve for x
    x = 43,636,577.04/7,518
  6. Step 6: Final answer
    x = 5,804.28

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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.