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Finding the Fourth Proportional to 13,598, 20,291.88 and 12,125.40

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Solution

The fourth proportional to 13,598, 20,291.88 and 12,125.40 is: 18,094.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598 : 20,291.88 = 12,125.40 : x
  2. Step 2: Convert to fraction form
    13,598/20,291.88 = 12,125.40/x
  3. Step 3: Cross multiply
    13,598x = 20,291.88 × 12,125.40
  4. Step 4: Simplify right side
    13,598x = 246,047,161.75
  5. Step 5: Solve for x
    x = 246,047,161.75/13,598
  6. Step 6: Final answer
    x = 18,094.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.