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Finding the Fourth Proportional to 9,882.30, 13,642.03 and 6,302.07

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Solution

The fourth proportional to 9,882.30, 13,642.03 and 6,302.07 is: 8,699.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.30 : 13,642.03 = 6,302.07 : x
  2. Step 2: Convert to fraction form
    9,882.30/13,642.03 = 6,302.07/x
  3. Step 3: Cross multiply
    9,882.30x = 13,642.03 × 6,302.07
  4. Step 4: Simplify right side
    9,882.30x = 85,972,987.19
  5. Step 5: Solve for x
    x = 85,972,987.19/9,882.30
  6. Step 6: Final answer
    x = 8,699.69

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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.