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Finding the Fourth Proportional to 30,854.64, 42,579.42 and 16,707.48

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Solution

The fourth proportional to 30,854.64, 42,579.42 and 16,707.48 is: 23,056.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,854.64 : 42,579.42 = 16,707.48 : x
  2. Step 2: Convert to fraction form
    30,854.64/42,579.42 = 16,707.48/x
  3. Step 3: Cross multiply
    30,854.64x = 42,579.42 × 16,707.48
  4. Step 4: Simplify right side
    30,854.64x = 711,394,808.06
  5. Step 5: Solve for x
    x = 711,394,808.06/30,854.64
  6. Step 6: Final answer
    x = 23,056.33

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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.