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Finding the Fourth Proportional to 39,798, 59,684.36 and 13,139.04

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Solution

The fourth proportional to 39,798, 59,684.36 and 13,139.04 is: 19,704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,798 : 59,684.36 = 13,139.04 : x
  2. Step 2: Convert to fraction form
    39,798/59,684.36 = 13,139.04/x
  3. Step 3: Cross multiply
    39,798x = 59,684.36 × 13,139.04
  4. Step 4: Simplify right side
    39,798x = 784,195,193.41
  5. Step 5: Solve for x
    x = 784,195,193.41/39,798
  6. Step 6: Final answer
    x = 19,704.39

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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.