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Finding the Fourth Proportional to 19,878.39, 29,823.40 and 8,026.06

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Solution

The fourth proportional to 19,878.39, 29,823.40 and 8,026.06 is: 12,041.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.39 : 29,823.40 = 8,026.06 : x
  2. Step 2: Convert to fraction form
    19,878.39/29,823.40 = 8,026.06/x
  3. Step 3: Cross multiply
    19,878.39x = 29,823.40 × 8,026.06
  4. Step 4: Simplify right side
    19,878.39x = 239,364,397.80
  5. Step 5: Solve for x
    x = 239,364,397.80/19,878.39
  6. Step 6: Final answer
    x = 12,041.44

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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.