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Finding the Fourth Proportional to 12,161.47, 16,782.83 and 6,572.47

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Solution

The fourth proportional to 12,161.47, 16,782.83 and 6,572.47 is: 9,070.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.47 : 16,782.83 = 6,572.47 : x
  2. Step 2: Convert to fraction form
    12,161.47/16,782.83 = 6,572.47/x
  3. Step 3: Cross multiply
    12,161.47x = 16,782.83 × 6,572.47
  4. Step 4: Simplify right side
    12,161.47x = 110,304,613.83
  5. Step 5: Solve for x
    x = 110,304,613.83/12,161.47
  6. Step 6: Final answer
    x = 9,070.01

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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.