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Finding the Fourth Proportional to 38,506.98, 57,762.12 and 12,211.14

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Solution

The fourth proportional to 38,506.98, 57,762.12 and 12,211.14 is: 18,317.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,506.98 : 57,762.12 = 12,211.14 : x
  2. Step 2: Convert to fraction form
    38,506.98/57,762.12 = 12,211.14/x
  3. Step 3: Cross multiply
    38,506.98x = 57,762.12 × 12,211.14
  4. Step 4: Simplify right side
    38,506.98x = 705,341,334.02
  5. Step 5: Solve for x
    x = 705,341,334.02/38,506.98
  6. Step 6: Final answer
    x = 18,317.23

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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.