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Finding the Fourth Proportional to 12,762.79, 17,621.21 and 9,773.28

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Solution

The fourth proportional to 12,762.79, 17,621.21 and 9,773.28 is: 13,493.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.79 : 17,621.21 = 9,773.28 : x
  2. Step 2: Convert to fraction form
    12,762.79/17,621.21 = 9,773.28/x
  3. Step 3: Cross multiply
    12,762.79x = 17,621.21 × 9,773.28
  4. Step 4: Simplify right side
    12,762.79x = 172,217,043.70
  5. Step 5: Solve for x
    x = 172,217,043.70/12,762.79
  6. Step 6: Final answer
    x = 13,493.69

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1.5x scale

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.