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Finding the Fourth Proportional to 19,110, 28,657.64 and 7,421.68

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Solution

The fourth proportional to 19,110, 28,657.64 and 7,421.68 is: 11,129.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,110 : 28,657.64 = 7,421.68 : x
  2. Step 2: Convert to fraction form
    19,110/28,657.64 = 7,421.68/x
  3. Step 3: Cross multiply
    19,110x = 28,657.64 × 7,421.68
  4. Step 4: Simplify right side
    19,110x = 212,687,833.64
  5. Step 5: Solve for x
    x = 212,687,833.64/19,110
  6. Step 6: Final answer
    x = 11,129.66

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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.