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Finding the Fourth Proportional to 7,143, 9,857.34 and 3,999.66

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Solution

The fourth proportional to 7,143, 9,857.34 and 3,999.66 is: 5,519.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143 : 9,857.34 = 3,999.66 : x
  2. Step 2: Convert to fraction form
    7,143/9,857.34 = 3,999.66/x
  3. Step 3: Cross multiply
    7,143x = 9,857.34 × 3,999.66
  4. Step 4: Simplify right side
    7,143x = 39,426,008.50
  5. Step 5: Solve for x
    x = 39,426,008.50/7,143
  6. Step 6: Final answer
    x = 5,519.53

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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.