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Finding the Fourth Proportional to 9,953.70, 13,731.50 and 6,418.05

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Solution

The fourth proportional to 9,953.70, 13,731.50 and 6,418.05 is: 8,853.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.70 : 13,731.50 = 6,418.05 : x
  2. Step 2: Convert to fraction form
    9,953.70/13,731.50 = 6,418.05/x
  3. Step 3: Cross multiply
    9,953.70x = 13,731.50 × 6,418.05
  4. Step 4: Simplify right side
    9,953.70x = 88,129,418.13
  5. Step 5: Solve for x
    x = 88,129,418.13/9,953.70
  6. Step 6: Final answer
    x = 8,853.94

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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.