Home / 7,787.13-11,681.39-3,106

Finding the Fourth Proportional to 7,787.13, 11,681.39 and 3,106

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Solution

The fourth proportional to 7,787.13, 11,681.39 and 3,106 is: 4,659.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.13 : 11,681.39 = 3,106 : x
  2. Step 2: Convert to fraction form
    7,787.13/11,681.39 = 3,106/x
  3. Step 3: Cross multiply
    7,787.13x = 11,681.39 × 3,106
  4. Step 4: Simplify right side
    7,787.13x = 36,282,381.81
  5. Step 5: Solve for x
    x = 36,282,381.81/7,787.13
  6. Step 6: Final answer
    x = 4,659.28

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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.