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Finding the Fourth Proportional to 10,859.90, 14,986.89 and 6,143.30

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Solution

The fourth proportional to 10,859.90, 14,986.89 and 6,143.30 is: 8,477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.90 : 14,986.89 = 6,143.30 : x
  2. Step 2: Convert to fraction form
    10,859.90/14,986.89 = 6,143.30/x
  3. Step 3: Cross multiply
    10,859.90x = 14,986.89 × 6,143.30
  4. Step 4: Simplify right side
    10,859.90x = 92,068,961.34
  5. Step 5: Solve for x
    x = 92,068,961.34/10,859.90
  6. Step 6: Final answer
    x = 8,477.88

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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.