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Finding the Fourth Proportional to 12,307.92, 18,421.74 and 9,020.22

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Solution

The fourth proportional to 12,307.92, 18,421.74 and 9,020.22 is: 13,500.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.92 : 18,421.74 = 9,020.22 : x
  2. Step 2: Convert to fraction form
    12,307.92/18,421.74 = 9,020.22/x
  3. Step 3: Cross multiply
    12,307.92x = 18,421.74 × 9,020.22
  4. Step 4: Simplify right side
    12,307.92x = 166,168,147.58
  5. Step 5: Solve for x
    x = 166,168,147.58/12,307.92
  6. Step 6: Final answer
    x = 13,500.91

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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.