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Finding the Fourth Proportional to 20,348.74, 30,570.05 and 19,508.00

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Solution

The fourth proportional to 20,348.74, 30,570.05 and 19,508.00 is: 29,306.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,348.74 : 30,570.05 = 19,508.00 : x
  2. Step 2: Convert to fraction form
    20,348.74/30,570.05 = 19,508.00/x
  3. Step 3: Cross multiply
    20,348.74x = 30,570.05 × 19,508.00
  4. Step 4: Simplify right side
    20,348.74x = 596,360,509.10
  5. Step 5: Solve for x
    x = 596,360,509.10/20,348.74
  6. Step 6: Final answer
    x = 29,306.99

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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.