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Finding the Fourth Proportional to 6,442.70, 9,586.87 and 6,420.83

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Solution

The fourth proportional to 6,442.70, 9,586.87 and 6,420.83 is: 9,554.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.70 : 9,586.87 = 6,420.83 : x
  2. Step 2: Convert to fraction form
    6,442.70/9,586.87 = 6,420.83/x
  3. Step 3: Cross multiply
    6,442.70x = 9,586.87 × 6,420.83
  4. Step 4: Simplify right side
    6,442.70x = 61,555,598.52
  5. Step 5: Solve for x
    x = 61,555,598.52/6,442.70
  6. Step 6: Final answer
    x = 9,554.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.