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Finding the Fourth Proportional to 9,505.88, 14,240.22 and 6,543.80

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Solution

The fourth proportional to 9,505.88, 14,240.22 and 6,543.80 is: 9,802.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.88 : 14,240.22 = 6,543.80 : x
  2. Step 2: Convert to fraction form
    9,505.88/14,240.22 = 6,543.80/x
  3. Step 3: Cross multiply
    9,505.88x = 14,240.22 × 6,543.80
  4. Step 4: Simplify right side
    9,505.88x = 93,185,151.64
  5. Step 5: Solve for x
    x = 93,185,151.64/9,505.88
  6. Step 6: Final answer
    x = 9,802.90

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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.