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Finding the Fourth Proportional to 8,270.19, 11,411.06 and 4,914.14

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Solution

The fourth proportional to 8,270.19, 11,411.06 and 4,914.14 is: 6,780.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.19 : 11,411.06 = 4,914.14 : x
  2. Step 2: Convert to fraction form
    8,270.19/11,411.06 = 4,914.14/x
  3. Step 3: Cross multiply
    8,270.19x = 11,411.06 × 4,914.14
  4. Step 4: Simplify right side
    8,270.19x = 56,075,464.76
  5. Step 5: Solve for x
    x = 56,075,464.76/8,270.19
  6. Step 6: Final answer
    x = 6,780.43

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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.