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Finding the Fourth Proportional to 6,985.78, 10,477.78 and 2,304.63

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Solution

The fourth proportional to 6,985.78, 10,477.78 and 2,304.63 is: 3,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.78 : 10,477.78 = 2,304.63 : x
  2. Step 2: Convert to fraction form
    6,985.78/10,477.78 = 2,304.63/x
  3. Step 3: Cross multiply
    6,985.78x = 10,477.78 × 2,304.63
  4. Step 4: Simplify right side
    6,985.78x = 24,147,448.29
  5. Step 5: Solve for x
    x = 24,147,448.29/6,985.78
  6. Step 6: Final answer
    x = 3,456.66

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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.