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Finding the Fourth Proportional to 7,897.69, 11,849.98 and 3,740.64

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Solution

The fourth proportional to 7,897.69, 11,849.98 and 3,740.64 is: 5,612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.69 : 11,849.98 = 3,740.64 : x
  2. Step 2: Convert to fraction form
    7,897.69/11,849.98 = 3,740.64/x
  3. Step 3: Cross multiply
    7,897.69x = 11,849.98 × 3,740.64
  4. Step 4: Simplify right side
    7,897.69x = 44,326,509.19
  5. Step 5: Solve for x
    x = 44,326,509.19/7,897.69
  6. Step 6: Final answer
    x = 5,612.59

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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.