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Finding the Fourth Proportional to 10,289.69, 14,207.77 and 7,895.87

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Solution

The fourth proportional to 10,289.69, 14,207.77 and 7,895.87 is: 10,902.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.69 : 14,207.77 = 7,895.87 : x
  2. Step 2: Convert to fraction form
    10,289.69/14,207.77 = 7,895.87/x
  3. Step 3: Cross multiply
    10,289.69x = 14,207.77 × 7,895.87
  4. Step 4: Simplify right side
    10,289.69x = 112,182,704.91
  5. Step 5: Solve for x
    x = 112,182,704.91/10,289.69
  6. Step 6: Final answer
    x = 10,902.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.