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Finding the Fourth Proportional to 9,782.38, 13,496.16 and 6,427

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Solution

The fourth proportional to 9,782.38, 13,496.16 and 6,427 is: 8,866.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.38 : 13,496.16 = 6,427 : x
  2. Step 2: Convert to fraction form
    9,782.38/13,496.16 = 6,427/x
  3. Step 3: Cross multiply
    9,782.38x = 13,496.16 × 6,427
  4. Step 4: Simplify right side
    9,782.38x = 86,739,820.32
  5. Step 5: Solve for x
    x = 86,739,820.32/9,782.38
  6. Step 6: Final answer
    x = 8,866.94

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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.