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Finding the Fourth Proportional to 6,758.40, 9,320.76 and 5,636.28

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Solution

The fourth proportional to 6,758.40, 9,320.76 and 5,636.28 is: 7,773.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.40 : 9,320.76 = 5,636.28 : x
  2. Step 2: Convert to fraction form
    6,758.40/9,320.76 = 5,636.28/x
  3. Step 3: Cross multiply
    6,758.40x = 9,320.76 × 5,636.28
  4. Step 4: Simplify right side
    6,758.40x = 52,534,413.17
  5. Step 5: Solve for x
    x = 52,534,413.17/6,758.40
  6. Step 6: Final answer
    x = 7,773.20

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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.