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Finding the Fourth Proportional to 9,927.66, 13,700.40 and 5,679.12

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Solution

The fourth proportional to 9,927.66, 13,700.40 and 5,679.12 is: 7,837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.66 : 13,700.40 = 5,679.12 : x
  2. Step 2: Convert to fraction form
    9,927.66/13,700.40 = 5,679.12/x
  3. Step 3: Cross multiply
    9,927.66x = 13,700.40 × 5,679.12
  4. Step 4: Simplify right side
    9,927.66x = 77,806,215.65
  5. Step 5: Solve for x
    x = 77,806,215.65/9,927.66
  6. Step 6: Final answer
    x = 7,837.32

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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.