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Finding the Fourth Proportional to 19,978.64, 29,950.68 and 7,658

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Solution

The fourth proportional to 19,978.64, 29,950.68 and 7,658 is: 11,480.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.64 : 29,950.68 = 7,658 : x
  2. Step 2: Convert to fraction form
    19,978.64/29,950.68 = 7,658/x
  3. Step 3: Cross multiply
    19,978.64x = 29,950.68 × 7,658
  4. Step 4: Simplify right side
    19,978.64x = 229,362,307.44
  5. Step 5: Solve for x
    x = 229,362,307.44/19,978.64
  6. Step 6: Final answer
    x = 11,480.38

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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.