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Finding the Fourth Proportional to 8,907.76, 13,295.84 and 7,857.16

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Solution

The fourth proportional to 8,907.76, 13,295.84 and 7,857.16 is: 11,727.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,907.76 : 13,295.84 = 7,857.16 : x
  2. Step 2: Convert to fraction form
    8,907.76/13,295.84 = 7,857.16/x
  3. Step 3: Cross multiply
    8,907.76x = 13,295.84 × 7,857.16
  4. Step 4: Simplify right side
    8,907.76x = 104,467,542.21
  5. Step 5: Solve for x
    x = 104,467,542.21/8,907.76
  6. Step 6: Final answer
    x = 11,727.70

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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.