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Finding the Fourth Proportional to 13,053.60, 19,542.60 and 9,781.20

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Solution

The fourth proportional to 13,053.60, 19,542.60 and 9,781.20 is: 14,643.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,053.60 : 19,542.60 = 9,781.20 : x
  2. Step 2: Convert to fraction form
    13,053.60/19,542.60 = 9,781.20/x
  3. Step 3: Cross multiply
    13,053.60x = 19,542.60 × 9,781.20
  4. Step 4: Simplify right side
    13,053.60x = 191,150,079.12
  5. Step 5: Solve for x
    x = 191,150,079.12/13,053.60
  6. Step 6: Final answer
    x = 14,643.48

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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.