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Finding the Fourth Proportional to 12,860, 17,746.80 and 7,272.08

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Solution

The fourth proportional to 12,860, 17,746.80 and 7,272.08 is: 10,035.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,860 : 17,746.80 = 7,272.08 : x
  2. Step 2: Convert to fraction form
    12,860/17,746.80 = 7,272.08/x
  3. Step 3: Cross multiply
    12,860x = 17,746.80 × 7,272.08
  4. Step 4: Simplify right side
    12,860x = 129,056,149.34
  5. Step 5: Solve for x
    x = 129,056,149.34/12,860
  6. Step 6: Final answer
    x = 10,035.47

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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.