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Finding the Fourth Proportional to 7,318, 10,971.51 and 2,384.71

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Solution

The fourth proportional to 7,318, 10,971.51 and 2,384.71 is: 3,575.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,318 : 10,971.51 = 2,384.71 : x
  2. Step 2: Convert to fraction form
    7,318/10,971.51 = 2,384.71/x
  3. Step 3: Cross multiply
    7,318x = 10,971.51 × 2,384.71
  4. Step 4: Simplify right side
    7,318x = 26,163,869.61
  5. Step 5: Solve for x
    x = 26,163,869.61/7,318
  6. Step 6: Final answer
    x = 3,575.28

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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.