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Finding the Fourth Proportional to 9,830, 13,565.46 and 5,638.28

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Solution

The fourth proportional to 9,830, 13,565.46 and 5,638.28 is: 7,780.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830 : 13,565.46 = 5,638.28 : x
  2. Step 2: Convert to fraction form
    9,830/13,565.46 = 5,638.28/x
  3. Step 3: Cross multiply
    9,830x = 13,565.46 × 5,638.28
  4. Step 4: Simplify right side
    9,830x = 76,485,861.81
  5. Step 5: Solve for x
    x = 76,485,861.81/9,830
  6. Step 6: Final answer
    x = 7,780.86

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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.