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Finding the Fourth Proportional to 6,405.78, 9,610.47 and 4,652.52

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Solution

The fourth proportional to 6,405.78, 9,610.47 and 4,652.52 is: 6,980.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.78 : 9,610.47 = 4,652.52 : x
  2. Step 2: Convert to fraction form
    6,405.78/9,610.47 = 4,652.52/x
  3. Step 3: Cross multiply
    6,405.78x = 9,610.47 × 4,652.52
  4. Step 4: Simplify right side
    6,405.78x = 44,712,903.88
  5. Step 5: Solve for x
    x = 44,712,903.88/6,405.78
  6. Step 6: Final answer
    x = 6,980.09

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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.