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Finding the Fourth Proportional to 14,442.78, 21,649.58 and 7,855.32

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Solution

The fourth proportional to 14,442.78, 21,649.58 and 7,855.32 is: 11,775.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,442.78 : 21,649.58 = 7,855.32 : x
  2. Step 2: Convert to fraction form
    14,442.78/21,649.58 = 7,855.32/x
  3. Step 3: Cross multiply
    14,442.78x = 21,649.58 × 7,855.32
  4. Step 4: Simplify right side
    14,442.78x = 170,064,290.16
  5. Step 5: Solve for x
    x = 170,064,290.16/14,442.78
  6. Step 6: Final answer
    x = 11,775.04

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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.