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Finding the Fourth Proportional to 13,835.58, 20,758.58 and 8,292.90

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Solution

The fourth proportional to 13,835.58, 20,758.58 and 8,292.90 is: 12,442.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835.58 : 20,758.58 = 8,292.90 : x
  2. Step 2: Convert to fraction form
    13,835.58/20,758.58 = 8,292.90/x
  3. Step 3: Cross multiply
    13,835.58x = 20,758.58 × 8,292.90
  4. Step 4: Simplify right side
    13,835.58x = 172,148,828.08
  5. Step 5: Solve for x
    x = 172,148,828.08/13,835.58
  6. Step 6: Final answer
    x = 12,442.47

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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.