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Finding the Fourth Proportional to 19,853.58, 29,781 and 9,987.48

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Solution

The fourth proportional to 19,853.58, 29,781 and 9,987.48 is: 14,981.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,853.58 : 29,781 = 9,987.48 : x
  2. Step 2: Convert to fraction form
    19,853.58/29,781 = 9,987.48/x
  3. Step 3: Cross multiply
    19,853.58x = 29,781 × 9,987.48
  4. Step 4: Simplify right side
    19,853.58x = 297,437,141.88
  5. Step 5: Solve for x
    x = 297,437,141.88/19,853.58
  6. Step 6: Final answer
    x = 14,981.54

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1.5x scale

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.