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Finding the Fourth Proportional to 13,290, 19,925.01 and 8,026.80

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Solution

The fourth proportional to 13,290, 19,925.01 and 8,026.80 is: 12,034.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,290 : 19,925.01 = 8,026.80 : x
  2. Step 2: Convert to fraction form
    13,290/19,925.01 = 8,026.80/x
  3. Step 3: Cross multiply
    13,290x = 19,925.01 × 8,026.80
  4. Step 4: Simplify right side
    13,290x = 159,934,070.27
  5. Step 5: Solve for x
    x = 159,934,070.27/13,290
  6. Step 6: Final answer
    x = 12,034.17

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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.