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Finding the Fourth Proportional to 35,521, 49,023.84 and 20,617

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Solution

The fourth proportional to 35,521, 49,023.84 and 20,617 is: 28,454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,521 : 49,023.84 = 20,617 : x
  2. Step 2: Convert to fraction form
    35,521/49,023.84 = 20,617/x
  3. Step 3: Cross multiply
    35,521x = 49,023.84 × 20,617
  4. Step 4: Simplify right side
    35,521x = 1,010,724,509.28
  5. Step 5: Solve for x
    x = 1,010,724,509.28/35,521
  6. Step 6: Final answer
    x = 28,454.28

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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.