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Finding the Fourth Proportional to 30,337.96, 45,506.94 and 11,857

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Solution

The fourth proportional to 30,337.96, 45,506.94 and 11,857 is: 17,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,337.96 : 45,506.94 = 11,857 : x
  2. Step 2: Convert to fraction form
    30,337.96/45,506.94 = 11,857/x
  3. Step 3: Cross multiply
    30,337.96x = 45,506.94 × 11,857
  4. Step 4: Simplify right side
    30,337.96x = 539,575,787.58
  5. Step 5: Solve for x
    x = 539,575,787.58/30,337.96
  6. Step 6: Final answer
    x = 17,785.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.