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Finding the Fourth Proportional to 10,005.80, 13,807.94 and 5,698.94

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Solution

The fourth proportional to 10,005.80, 13,807.94 and 5,698.94 is: 7,864.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.80 : 13,807.94 = 5,698.94 : x
  2. Step 2: Convert to fraction form
    10,005.80/13,807.94 = 5,698.94/x
  3. Step 3: Cross multiply
    10,005.80x = 13,807.94 × 5,698.94
  4. Step 4: Simplify right side
    10,005.80x = 78,690,524.05
  5. Step 5: Solve for x
    x = 78,690,524.05/10,005.80
  6. Step 6: Final answer
    x = 7,864.49

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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.