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Finding the Fourth Proportional to 9,640.70, 13,300.23 and 6,282.28

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Solution

The fourth proportional to 9,640.70, 13,300.23 and 6,282.28 is: 8,666.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.70 : 13,300.23 = 6,282.28 : x
  2. Step 2: Convert to fraction form
    9,640.70/13,300.23 = 6,282.28/x
  3. Step 3: Cross multiply
    9,640.70x = 13,300.23 × 6,282.28
  4. Step 4: Simplify right side
    9,640.70x = 83,555,817.88
  5. Step 5: Solve for x
    x = 83,555,817.88/9,640.70
  6. Step 6: Final answer
    x = 8,666.99

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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.