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Finding the Fourth Proportional to 10,711, 14,790.30 and 6,738.76

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Solution

The fourth proportional to 10,711, 14,790.30 and 6,738.76 is: 9,305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711 : 14,790.30 = 6,738.76 : x
  2. Step 2: Convert to fraction form
    10,711/14,790.30 = 6,738.76/x
  3. Step 3: Cross multiply
    10,711x = 14,790.30 × 6,738.76
  4. Step 4: Simplify right side
    10,711x = 99,668,282.03
  5. Step 5: Solve for x
    x = 99,668,282.03/10,711
  6. Step 6: Final answer
    x = 9,305.23

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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.