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Finding the Fourth Proportional to 6,654.86, 9,985.95 and 5,610.02

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Solution

The fourth proportional to 6,654.86, 9,985.95 and 5,610.02 is: 8,418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.86 : 9,985.95 = 5,610.02 : x
  2. Step 2: Convert to fraction form
    6,654.86/9,985.95 = 5,610.02/x
  3. Step 3: Cross multiply
    6,654.86x = 9,985.95 × 5,610.02
  4. Step 4: Simplify right side
    6,654.86x = 56,021,379.22
  5. Step 5: Solve for x
    x = 56,021,379.22/6,654.86
  6. Step 6: Final answer
    x = 8,418.12

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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.