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Finding the Fourth Proportional to 10,002, 13,802.76 and 5,525.76

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Solution

The fourth proportional to 10,002, 13,802.76 and 5,525.76 is: 7,625.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002 : 13,802.76 = 5,525.76 : x
  2. Step 2: Convert to fraction form
    10,002/13,802.76 = 5,525.76/x
  3. Step 3: Cross multiply
    10,002x = 13,802.76 × 5,525.76
  4. Step 4: Simplify right side
    10,002x = 76,270,739.10
  5. Step 5: Solve for x
    x = 76,270,739.10/10,002
  6. Step 6: Final answer
    x = 7,625.55

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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.