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Finding the Fourth Proportional to 7,429.61, 11,143 and 3,730.84

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Solution

The fourth proportional to 7,429.61, 11,143 and 3,730.84 is: 5,595.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,429.61 : 11,143 = 3,730.84 : x
  2. Step 2: Convert to fraction form
    7,429.61/11,143 = 3,730.84/x
  3. Step 3: Cross multiply
    7,429.61x = 11,143 × 3,730.84
  4. Step 4: Simplify right side
    7,429.61x = 41,572,750.12
  5. Step 5: Solve for x
    x = 41,572,750.12/7,429.61
  6. Step 6: Final answer
    x = 5,595.55

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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.