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Finding the Fourth Proportional to 6,670.88, 9,206.28 and 3,686.77

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Solution

The fourth proportional to 6,670.88, 9,206.28 and 3,686.77 is: 5,088.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.88 : 9,206.28 = 3,686.77 : x
  2. Step 2: Convert to fraction form
    6,670.88/9,206.28 = 3,686.77/x
  3. Step 3: Cross multiply
    6,670.88x = 9,206.28 × 3,686.77
  4. Step 4: Simplify right side
    6,670.88x = 33,941,413.90
  5. Step 5: Solve for x
    x = 33,941,413.90/6,670.88
  6. Step 6: Final answer
    x = 5,088.00

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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.