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Finding the Fourth Proportional to 10,656.40, 14,705.76 and 5,940.40

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Solution

The fourth proportional to 10,656.40, 14,705.76 and 5,940.40 is: 8,197.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.40 : 14,705.76 = 5,940.40 : x
  2. Step 2: Convert to fraction form
    10,656.40/14,705.76 = 5,940.40/x
  3. Step 3: Cross multiply
    10,656.40x = 14,705.76 × 5,940.40
  4. Step 4: Simplify right side
    10,656.40x = 87,358,096.70
  5. Step 5: Solve for x
    x = 87,358,096.70/10,656.40
  6. Step 6: Final answer
    x = 8,197.71

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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.