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Finding the Fourth Proportional to 28,660.16, 42,894.16 and 21,020.24

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Solution

The fourth proportional to 28,660.16, 42,894.16 and 21,020.24 is: 31,459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,660.16 : 42,894.16 = 21,020.24 : x
  2. Step 2: Convert to fraction form
    28,660.16/42,894.16 = 21,020.24/x
  3. Step 3: Cross multiply
    28,660.16x = 42,894.16 × 21,020.24
  4. Step 4: Simplify right side
    28,660.16x = 901,645,537.80
  5. Step 5: Solve for x
    x = 901,645,537.80/28,660.16
  6. Step 6: Final answer
    x = 31,459.89

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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.