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Finding the Fourth Proportional to 28,842, 39,802.08 and 15,594

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Solution

The fourth proportional to 28,842, 39,802.08 and 15,594 is: 21,519.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,842 : 39,802.08 = 15,594 : x
  2. Step 2: Convert to fraction form
    28,842/39,802.08 = 15,594/x
  3. Step 3: Cross multiply
    28,842x = 39,802.08 × 15,594
  4. Step 4: Simplify right side
    28,842x = 620,673,635.52
  5. Step 5: Solve for x
    x = 620,673,635.52/28,842
  6. Step 6: Final answer
    x = 21,519.78

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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.