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Finding the Fourth Proportional to 12,089.84, 18,141.95 and 6,543.07

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Solution

The fourth proportional to 12,089.84, 18,141.95 and 6,543.07 is: 9,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.84 : 18,141.95 = 6,543.07 : x
  2. Step 2: Convert to fraction form
    12,089.84/18,141.95 = 6,543.07/x
  3. Step 3: Cross multiply
    12,089.84x = 18,141.95 × 6,543.07
  4. Step 4: Simplify right side
    12,089.84x = 118,704,019.79
  5. Step 5: Solve for x
    x = 118,704,019.79/12,089.84
  6. Step 6: Final answer
    x = 9,818.50

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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.