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Finding the Fourth Proportional to 21,318.67, 31,981.95 and 7,277.93

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Solution

The fourth proportional to 21,318.67, 31,981.95 and 7,277.93 is: 10,918.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,318.67 : 31,981.95 = 7,277.93 : x
  2. Step 2: Convert to fraction form
    21,318.67/31,981.95 = 7,277.93/x
  3. Step 3: Cross multiply
    21,318.67x = 31,981.95 × 7,277.93
  4. Step 4: Simplify right side
    21,318.67x = 232,762,233.45
  5. Step 5: Solve for x
    x = 232,762,233.45/21,318.67
  6. Step 6: Final answer
    x = 10,918.24

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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.