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Finding the Fourth Proportional to 11,762, 17,642.32 and 8,602.68

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Solution

The fourth proportional to 11,762, 17,642.32 and 8,602.68 is: 12,903.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762 : 17,642.32 = 8,602.68 : x
  2. Step 2: Convert to fraction form
    11,762/17,642.32 = 8,602.68/x
  3. Step 3: Cross multiply
    11,762x = 17,642.32 × 8,602.68
  4. Step 4: Simplify right side
    11,762x = 151,771,233.42
  5. Step 5: Solve for x
    x = 151,771,233.42/11,762
  6. Step 6: Final answer
    x = 12,903.52

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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.