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Finding the Fourth Proportional to 21,368.70, 31,971.72 and 12,904.05

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Solution

The fourth proportional to 21,368.70, 31,971.72 and 12,904.05 is: 19,306.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,368.70 : 31,971.72 = 12,904.05 : x
  2. Step 2: Convert to fraction form
    21,368.70/31,971.72 = 12,904.05/x
  3. Step 3: Cross multiply
    21,368.70x = 31,971.72 × 12,904.05
  4. Step 4: Simplify right side
    21,368.70x = 412,564,673.47
  5. Step 5: Solve for x
    x = 412,564,673.47/21,368.70
  6. Step 6: Final answer
    x = 19,306.96

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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.