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Finding the Fourth Proportional to 13,002.40, 19,460.40 and 11,447.20

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Solution

The fourth proportional to 13,002.40, 19,460.40 and 11,447.20 is: 17,132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.40 : 19,460.40 = 11,447.20 : x
  2. Step 2: Convert to fraction form
    13,002.40/19,460.40 = 11,447.20/x
  3. Step 3: Cross multiply
    13,002.40x = 19,460.40 × 11,447.20
  4. Step 4: Simplify right side
    13,002.40x = 222,767,090.88
  5. Step 5: Solve for x
    x = 222,767,090.88/13,002.40
  6. Step 6: Final answer
    x = 17,132.77

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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.