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Finding the Fourth Proportional to 11,703.60, 16,149.60 and 6,987.06

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Solution

The fourth proportional to 11,703.60, 16,149.60 and 6,987.06 is: 9,641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,703.60 : 16,149.60 = 6,987.06 : x
  2. Step 2: Convert to fraction form
    11,703.60/16,149.60 = 6,987.06/x
  3. Step 3: Cross multiply
    11,703.60x = 16,149.60 × 6,987.06
  4. Step 4: Simplify right side
    11,703.60x = 112,838,224.18
  5. Step 5: Solve for x
    x = 112,838,224.18/11,703.60
  6. Step 6: Final answer
    x = 9,641.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.