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Finding the Fourth Proportional to 9,830, 13,565.52 and 5,638.64

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Solution

The fourth proportional to 9,830, 13,565.52 and 5,638.64 is: 7,781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830 : 13,565.52 = 5,638.64 : x
  2. Step 2: Convert to fraction form
    9,830/13,565.52 = 5,638.64/x
  3. Step 3: Cross multiply
    9,830x = 13,565.52 × 5,638.64
  4. Step 4: Simplify right side
    9,830x = 76,491,083.69
  5. Step 5: Solve for x
    x = 76,491,083.69/9,830
  6. Step 6: Final answer
    x = 7,781.39

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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.