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Finding the Fourth Proportional to 13,420.10, 20,130.15 and 13,225.70

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Solution

The fourth proportional to 13,420.10, 20,130.15 and 13,225.70 is: 19,838.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.10 : 20,130.15 = 13,225.70 : x
  2. Step 2: Convert to fraction form
    13,420.10/20,130.15 = 13,225.70/x
  3. Step 3: Cross multiply
    13,420.10x = 20,130.15 × 13,225.70
  4. Step 4: Simplify right side
    13,420.10x = 266,235,324.86
  5. Step 5: Solve for x
    x = 266,235,324.86/13,420.10
  6. Step 6: Final answer
    x = 19,838.55

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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.