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Finding the Fourth Proportional to 10,699.77, 14,765.79 and 5,919.47

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Solution

The fourth proportional to 10,699.77, 14,765.79 and 5,919.47 is: 8,168.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.77 : 14,765.79 = 5,919.47 : x
  2. Step 2: Convert to fraction form
    10,699.77/14,765.79 = 5,919.47/x
  3. Step 3: Cross multiply
    10,699.77x = 14,765.79 × 5,919.47
  4. Step 4: Simplify right side
    10,699.77x = 87,405,577.10
  5. Step 5: Solve for x
    x = 87,405,577.10/10,699.77
  6. Step 6: Final answer
    x = 8,168.92

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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.