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Finding the Fourth Proportional to 7,978.18, 11,967.27 and 3,590.51

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Solution

The fourth proportional to 7,978.18, 11,967.27 and 3,590.51 is: 5,385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.18 : 11,967.27 = 3,590.51 : x
  2. Step 2: Convert to fraction form
    7,978.18/11,967.27 = 3,590.51/x
  3. Step 3: Cross multiply
    7,978.18x = 11,967.27 × 3,590.51
  4. Step 4: Simplify right side
    7,978.18x = 42,968,602.61
  5. Step 5: Solve for x
    x = 42,968,602.61/7,978.18
  6. Step 6: Final answer
    x = 5,385.77

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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.