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Finding the Fourth Proportional to 10,486.79, 15,730.18 and 7,189.89

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Solution

The fourth proportional to 10,486.79, 15,730.18 and 7,189.89 is: 10,784.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.79 : 15,730.18 = 7,189.89 : x
  2. Step 2: Convert to fraction form
    10,486.79/15,730.18 = 7,189.89/x
  3. Step 3: Cross multiply
    10,486.79x = 15,730.18 × 7,189.89
  4. Step 4: Simplify right side
    10,486.79x = 113,098,271.60
  5. Step 5: Solve for x
    x = 113,098,271.60/10,486.79
  6. Step 6: Final answer
    x = 10,784.83

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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.