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Finding the Fourth Proportional to 10,704.78, 14,779.05 and 6,985.26

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Solution

The fourth proportional to 10,704.78, 14,779.05 and 6,985.26 is: 9,643.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.78 : 14,779.05 = 6,985.26 : x
  2. Step 2: Convert to fraction form
    10,704.78/14,779.05 = 6,985.26/x
  3. Step 3: Cross multiply
    10,704.78x = 14,779.05 × 6,985.26
  4. Step 4: Simplify right side
    10,704.78x = 103,235,506.80
  5. Step 5: Solve for x
    x = 103,235,506.80/10,704.78
  6. Step 6: Final answer
    x = 9,643.87

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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.