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Finding the Fourth Proportional to 10,348.40, 14,282.79 and 6,811.40

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Solution

The fourth proportional to 10,348.40, 14,282.79 and 6,811.40 is: 9,401.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.40 : 14,282.79 = 6,811.40 : x
  2. Step 2: Convert to fraction form
    10,348.40/14,282.79 = 6,811.40/x
  3. Step 3: Cross multiply
    10,348.40x = 14,282.79 × 6,811.40
  4. Step 4: Simplify right side
    10,348.40x = 97,285,795.81
  5. Step 5: Solve for x
    x = 97,285,795.81/10,348.40
  6. Step 6: Final answer
    x = 9,401.05

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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.