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Finding the Fourth Proportional to 32,782, 45,239.40 and 17,878

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Solution

The fourth proportional to 32,782, 45,239.40 and 17,878 is: 24,671.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,782 : 45,239.40 = 17,878 : x
  2. Step 2: Convert to fraction form
    32,782/45,239.40 = 17,878/x
  3. Step 3: Cross multiply
    32,782x = 45,239.40 × 17,878
  4. Step 4: Simplify right side
    32,782x = 808,789,993.20
  5. Step 5: Solve for x
    x = 808,789,993.20/32,782
  6. Step 6: Final answer
    x = 24,671.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.