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Finding the Fourth Proportional to 7,787.32, 11,602.28 and 7,415.80

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Solution

The fourth proportional to 7,787.32, 11,602.28 and 7,415.80 is: 11,048.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.32 : 11,602.28 = 7,415.80 : x
  2. Step 2: Convert to fraction form
    7,787.32/11,602.28 = 7,415.80/x
  3. Step 3: Cross multiply
    7,787.32x = 11,602.28 × 7,415.80
  4. Step 4: Simplify right side
    7,787.32x = 86,040,188.02
  5. Step 5: Solve for x
    x = 86,040,188.02/7,787.32
  6. Step 6: Final answer
    x = 11,048.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.