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Finding the Fourth Proportional to 19,762.90, 29,644.40 and 8,076.12

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Solution

The fourth proportional to 19,762.90, 29,644.40 and 8,076.12 is: 12,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762.90 : 29,644.40 = 8,076.12 : x
  2. Step 2: Convert to fraction form
    19,762.90/29,644.40 = 8,076.12/x
  3. Step 3: Cross multiply
    19,762.90x = 29,644.40 × 8,076.12
  4. Step 4: Simplify right side
    19,762.90x = 239,411,731.73
  5. Step 5: Solve for x
    x = 239,411,731.73/19,762.90
  6. Step 6: Final answer
    x = 12,114.20

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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.