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Finding the Fourth Proportional to 12,307.22, 18,465.16 and 7,684.82

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Solution

The fourth proportional to 12,307.22, 18,465.16 and 7,684.82 is: 11,529.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.22 : 18,465.16 = 7,684.82 : x
  2. Step 2: Convert to fraction form
    12,307.22/18,465.16 = 7,684.82/x
  3. Step 3: Cross multiply
    12,307.22x = 18,465.16 × 7,684.82
  4. Step 4: Simplify right side
    12,307.22x = 141,901,430.87
  5. Step 5: Solve for x
    x = 141,901,430.87/12,307.22
  6. Step 6: Final answer
    x = 11,529.93

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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.