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Finding the Fourth Proportional to 8,907.84, 13,357.81 and 4,747.07

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Solution

The fourth proportional to 8,907.84, 13,357.81 and 4,747.07 is: 7,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,907.84 : 13,357.81 = 4,747.07 : x
  2. Step 2: Convert to fraction form
    8,907.84/13,357.81 = 4,747.07/x
  3. Step 3: Cross multiply
    8,907.84x = 13,357.81 × 4,747.07
  4. Step 4: Simplify right side
    8,907.84x = 63,410,498.45
  5. Step 5: Solve for x
    x = 63,410,498.45/8,907.84
  6. Step 6: Final answer
    x = 7,118.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.