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Finding the Fourth Proportional to 10,861.56, 14,988.06 and 6,147

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Solution

The fourth proportional to 10,861.56, 14,988.06 and 6,147 is: 8,482.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.56 : 14,988.06 = 6,147 : x
  2. Step 2: Convert to fraction form
    10,861.56/14,988.06 = 6,147/x
  3. Step 3: Cross multiply
    10,861.56x = 14,988.06 × 6,147
  4. Step 4: Simplify right side
    10,861.56x = 92,131,604.82
  5. Step 5: Solve for x
    x = 92,131,604.82/10,861.56
  6. Step 6: Final answer
    x = 8,482.35

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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.