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Finding the Fourth Proportional to 7,473, 10,312.74 and 4,161

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Solution

The fourth proportional to 7,473, 10,312.74 and 4,161 is: 5,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,473 : 10,312.74 = 4,161 : x
  2. Step 2: Convert to fraction form
    7,473/10,312.74 = 4,161/x
  3. Step 3: Cross multiply
    7,473x = 10,312.74 × 4,161
  4. Step 4: Simplify right side
    7,473x = 42,911,311.14
  5. Step 5: Solve for x
    x = 42,911,311.14/7,473
  6. Step 6: Final answer
    x = 5,742.18

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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.