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Finding the Fourth Proportional to 21,318.93, 31,978.81 and 7,282.17

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Solution

The fourth proportional to 21,318.93, 31,978.81 and 7,282.17 is: 10,923.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,318.93 : 31,978.81 = 7,282.17 : x
  2. Step 2: Convert to fraction form
    21,318.93/31,978.81 = 7,282.17/x
  3. Step 3: Cross multiply
    21,318.93x = 31,978.81 × 7,282.17
  4. Step 4: Simplify right side
    21,318.93x = 232,875,130.82
  5. Step 5: Solve for x
    x = 232,875,130.82/21,318.93
  6. Step 6: Final answer
    x = 10,923.40

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1.5x scale

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.