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Finding the Fourth Proportional to 28,972, 39,981.84 and 15,724

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Solution

The fourth proportional to 28,972, 39,981.84 and 15,724 is: 21,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,972 : 39,981.84 = 15,724 : x
  2. Step 2: Convert to fraction form
    28,972/39,981.84 = 15,724/x
  3. Step 3: Cross multiply
    28,972x = 39,981.84 × 15,724
  4. Step 4: Simplify right side
    28,972x = 628,674,452.16
  5. Step 5: Solve for x
    x = 628,674,452.16/28,972
  6. Step 6: Final answer
    x = 21,699.38

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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.