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Finding the Fourth Proportional to 8,724.13, 13,135.32 and 7,690.77

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Solution

The fourth proportional to 8,724.13, 13,135.32 and 7,690.77 is: 11,579.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724.13 : 13,135.32 = 7,690.77 : x
  2. Step 2: Convert to fraction form
    8,724.13/13,135.32 = 7,690.77/x
  3. Step 3: Cross multiply
    8,724.13x = 13,135.32 × 7,690.77
  4. Step 4: Simplify right side
    8,724.13x = 101,020,725.00
  5. Step 5: Solve for x
    x = 101,020,725.00/8,724.13
  6. Step 6: Final answer
    x = 11,579.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.