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Finding the Fourth Proportional to 14,201.40, 21,301.90 and 6,410.20

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Solution

The fourth proportional to 14,201.40, 21,301.90 and 6,410.20 is: 9,615.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,201.40 : 21,301.90 = 6,410.20 : x
  2. Step 2: Convert to fraction form
    14,201.40/21,301.90 = 6,410.20/x
  3. Step 3: Cross multiply
    14,201.40x = 21,301.90 × 6,410.20
  4. Step 4: Simplify right side
    14,201.40x = 136,549,439.38
  5. Step 5: Solve for x
    x = 136,549,439.38/14,201.40
  6. Step 6: Final answer
    x = 9,615.21

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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.