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Finding the Fourth Proportional to 30,833.78, 42,550.62 and 16,686.63

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Solution

The fourth proportional to 30,833.78, 42,550.62 and 16,686.63 is: 23,027.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,833.78 : 42,550.62 = 16,686.63 : x
  2. Step 2: Convert to fraction form
    30,833.78/42,550.62 = 16,686.63/x
  3. Step 3: Cross multiply
    30,833.78x = 42,550.62 × 16,686.63
  4. Step 4: Simplify right side
    30,833.78x = 710,026,197.74
  5. Step 5: Solve for x
    x = 710,026,197.74/30,833.78
  6. Step 6: Final answer
    x = 23,027.54

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1.5x scale

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.