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Finding the Fourth Proportional to 9,705.36, 14,555 and 6,190.36

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Solution

The fourth proportional to 9,705.36, 14,555 and 6,190.36 is: 9,283.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.36 : 14,555 = 6,190.36 : x
  2. Step 2: Convert to fraction form
    9,705.36/14,555 = 6,190.36/x
  3. Step 3: Cross multiply
    9,705.36x = 14,555 × 6,190.36
  4. Step 4: Simplify right side
    9,705.36x = 90,100,689.80
  5. Step 5: Solve for x
    x = 90,100,689.80/9,705.36
  6. Step 6: Final answer
    x = 9,283.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.