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Finding the Fourth Proportional to 7,089, 10,638.36 and 2,472

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Solution

The fourth proportional to 7,089, 10,638.36 and 2,472 is: 3,709.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089 : 10,638.36 = 2,472 : x
  2. Step 2: Convert to fraction form
    7,089/10,638.36 = 2,472/x
  3. Step 3: Cross multiply
    7,089x = 10,638.36 × 2,472
  4. Step 4: Simplify right side
    7,089x = 26,298,025.92
  5. Step 5: Solve for x
    x = 26,298,025.92/7,089
  6. Step 6: Final answer
    x = 3,709.69

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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.