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Finding the Fourth Proportional to 12,008.42, 16,580.40 and 7,762

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Solution

The fourth proportional to 12,008.42, 16,580.40 and 7,762 is: 10,717.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,008.42 : 16,580.40 = 7,762 : x
  2. Step 2: Convert to fraction form
    12,008.42/16,580.40 = 7,762/x
  3. Step 3: Cross multiply
    12,008.42x = 16,580.40 × 7,762
  4. Step 4: Simplify right side
    12,008.42x = 128,697,064.80
  5. Step 5: Solve for x
    x = 128,697,064.80/12,008.42
  6. Step 6: Final answer
    x = 10,717.24

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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.