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Finding the Fourth Proportional to 8,762.69, 13,148.90 and 6,427.46

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Solution

The fourth proportional to 8,762.69, 13,148.90 and 6,427.46 is: 9,644.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,762.69 : 13,148.90 = 6,427.46 : x
  2. Step 2: Convert to fraction form
    8,762.69/13,148.90 = 6,427.46/x
  3. Step 3: Cross multiply
    8,762.69x = 13,148.90 × 6,427.46
  4. Step 4: Simplify right side
    8,762.69x = 84,513,930.91
  5. Step 5: Solve for x
    x = 84,513,930.91/8,762.69
  6. Step 6: Final answer
    x = 9,644.75

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1.5x scale

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.