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Finding the Fourth Proportional to 15,985.80, 23,978.70 and 4,892.51

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Solution

The fourth proportional to 15,985.80, 23,978.70 and 4,892.51 is: 7,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,985.80 : 23,978.70 = 4,892.51 : x
  2. Step 2: Convert to fraction form
    15,985.80/23,978.70 = 4,892.51/x
  3. Step 3: Cross multiply
    15,985.80x = 23,978.70 × 4,892.51
  4. Step 4: Simplify right side
    15,985.80x = 117,316,089.48
  5. Step 5: Solve for x
    x = 117,316,089.48/15,985.80
  6. Step 6: Final answer
    x = 7,338.77

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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.