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Finding the Fourth Proportional to 17,985.72, 26,978.58 and 6,302.28

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Solution

The fourth proportional to 17,985.72, 26,978.58 and 6,302.28 is: 9,453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,985.72 : 26,978.58 = 6,302.28 : x
  2. Step 2: Convert to fraction form
    17,985.72/26,978.58 = 6,302.28/x
  3. Step 3: Cross multiply
    17,985.72x = 26,978.58 × 6,302.28
  4. Step 4: Simplify right side
    17,985.72x = 170,026,565.16
  5. Step 5: Solve for x
    x = 170,026,565.16/17,985.72
  6. Step 6: Final answer
    x = 9,453.42

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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.