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Finding the Fourth Proportional to 7,983, 11,014.11 and 5,001.80

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Solution

The fourth proportional to 7,983, 11,014.11 and 5,001.80 is: 6,900.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983 : 11,014.11 = 5,001.80 : x
  2. Step 2: Convert to fraction form
    7,983/11,014.11 = 5,001.80/x
  3. Step 3: Cross multiply
    7,983x = 11,014.11 × 5,001.80
  4. Step 4: Simplify right side
    7,983x = 55,090,320.33
  5. Step 5: Solve for x
    x = 55,090,320.33/7,983
  6. Step 6: Final answer
    x = 6,900.95

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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.