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Finding the Fourth Proportional to 10,509.82, 14,509.49 and 6,977.86

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Solution

The fourth proportional to 10,509.82, 14,509.49 and 6,977.86 is: 9,633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.82 : 14,509.49 = 6,977.86 : x
  2. Step 2: Convert to fraction form
    10,509.82/14,509.49 = 6,977.86/x
  3. Step 3: Cross multiply
    10,509.82x = 14,509.49 × 6,977.86
  4. Step 4: Simplify right side
    10,509.82x = 101,245,082.45
  5. Step 5: Solve for x
    x = 101,245,082.45/10,509.82
  6. Step 6: Final answer
    x = 9,633.38

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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.