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Finding the Fourth Proportional to 4,645, 6,967.47 and 2,178.07

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Solution

The fourth proportional to 4,645, 6,967.47 and 2,178.07 is: 3,267.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645 : 6,967.47 = 2,178.07 : x
  2. Step 2: Convert to fraction form
    4,645/6,967.47 = 2,178.07/x
  3. Step 3: Cross multiply
    4,645x = 6,967.47 × 2,178.07
  4. Step 4: Simplify right side
    4,645x = 15,175,637.38
  5. Step 5: Solve for x
    x = 15,175,637.38/4,645
  6. Step 6: Final answer
    x = 3,267.09

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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.