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Finding the Fourth Proportional to 12,364.59, 18,543.21 and 6,518.01

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Solution

The fourth proportional to 12,364.59, 18,543.21 and 6,518.01 is: 9,775.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.59 : 18,543.21 = 6,518.01 : x
  2. Step 2: Convert to fraction form
    12,364.59/18,543.21 = 6,518.01/x
  3. Step 3: Cross multiply
    12,364.59x = 18,543.21 × 6,518.01
  4. Step 4: Simplify right side
    12,364.59x = 120,864,828.21
  5. Step 5: Solve for x
    x = 120,864,828.21/12,364.59
  6. Step 6: Final answer
    x = 9,775.08

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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.