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Finding the Fourth Proportional to 10,689.80, 14,751.81 and 5,910.08

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Solution

The fourth proportional to 10,689.80, 14,751.81 and 5,910.08 is: 8,155.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.80 : 14,751.81 = 5,910.08 : x
  2. Step 2: Convert to fraction form
    10,689.80/14,751.81 = 5,910.08/x
  3. Step 3: Cross multiply
    10,689.80x = 14,751.81 × 5,910.08
  4. Step 4: Simplify right side
    10,689.80x = 87,184,303.49
  5. Step 5: Solve for x
    x = 87,184,303.49/10,689.80
  6. Step 6: Final answer
    x = 8,155.84

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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.