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Finding the Fourth Proportional to 30,925.71, 42,712.25 and 20,836.49

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Solution

The fourth proportional to 30,925.71, 42,712.25 and 20,836.49 is: 28,777.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,925.71 : 42,712.25 = 20,836.49 : x
  2. Step 2: Convert to fraction form
    30,925.71/42,712.25 = 20,836.49/x
  3. Step 3: Cross multiply
    30,925.71x = 42,712.25 × 20,836.49
  4. Step 4: Simplify right side
    30,925.71x = 889,973,052.26
  5. Step 5: Solve for x
    x = 889,973,052.26/30,925.71
  6. Step 6: Final answer
    x = 28,777.77

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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.