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Finding the Fourth Proportional to 10,005.74, 13,807.78 and 5,529.57

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Solution

The fourth proportional to 10,005.74, 13,807.78 and 5,529.57 is: 7,630.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.74 : 13,807.78 = 5,529.57 : x
  2. Step 2: Convert to fraction form
    10,005.74/13,807.78 = 5,529.57/x
  3. Step 3: Cross multiply
    10,005.74x = 13,807.78 × 5,529.57
  4. Step 4: Simplify right side
    10,005.74x = 76,351,028.23
  5. Step 5: Solve for x
    x = 76,351,028.23/10,005.74
  6. Step 6: Final answer
    x = 7,630.72

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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.