Home / 9,830.12-13,565.43-5,638.28

Finding the Fourth Proportional to 9,830.12, 13,565.43 and 5,638.28

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Solution

The fourth proportional to 9,830.12, 13,565.43 and 5,638.28 is: 7,780.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.12 : 13,565.43 = 5,638.28 : x
  2. Step 2: Convert to fraction form
    9,830.12/13,565.43 = 5,638.28/x
  3. Step 3: Cross multiply
    9,830.12x = 13,565.43 × 5,638.28
  4. Step 4: Simplify right side
    9,830.12x = 76,485,692.66
  5. Step 5: Solve for x
    x = 76,485,692.66/9,830.12
  6. Step 6: Final answer
    x = 7,780.75

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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.