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Finding the Fourth Proportional to 15,978.51, 23,967.66 and 4,885.16

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Solution

The fourth proportional to 15,978.51, 23,967.66 and 4,885.16 is: 7,327.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.51 : 23,967.66 = 4,885.16 : x
  2. Step 2: Convert to fraction form
    15,978.51/23,967.66 = 4,885.16/x
  3. Step 3: Cross multiply
    15,978.51x = 23,967.66 × 4,885.16
  4. Step 4: Simplify right side
    15,978.51x = 117,085,734.09
  5. Step 5: Solve for x
    x = 117,085,734.09/15,978.51
  6. Step 6: Final answer
    x = 7,327.70

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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.