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Finding the Fourth Proportional to 9,603.80, 13,259.36 and 7,839.60

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Solution

The fourth proportional to 9,603.80, 13,259.36 and 7,839.60 is: 10,823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.80 : 13,259.36 = 7,839.60 : x
  2. Step 2: Convert to fraction form
    9,603.80/13,259.36 = 7,839.60/x
  3. Step 3: Cross multiply
    9,603.80x = 13,259.36 × 7,839.60
  4. Step 4: Simplify right side
    9,603.80x = 103,948,078.66
  5. Step 5: Solve for x
    x = 103,948,078.66/9,603.80
  6. Step 6: Final answer
    x = 10,823.64

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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.