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Finding the Fourth Proportional to 19,985.40, 29,978.50 and 6,852.86

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Solution

The fourth proportional to 19,985.40, 29,978.50 and 6,852.86 is: 10,279.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,985.40 : 29,978.50 = 6,852.86 : x
  2. Step 2: Convert to fraction form
    19,985.40/29,978.50 = 6,852.86/x
  3. Step 3: Cross multiply
    19,985.40x = 29,978.50 × 6,852.86
  4. Step 4: Simplify right side
    19,985.40x = 205,438,463.51
  5. Step 5: Solve for x
    x = 205,438,463.51/19,985.40
  6. Step 6: Final answer
    x = 10,279.43

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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.