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Finding the Fourth Proportional to 12,467.76, 17,205.03 and 7,090.40

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Solution

The fourth proportional to 12,467.76, 17,205.03 and 7,090.40 is: 9,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.76 : 17,205.03 = 7,090.40 : x
  2. Step 2: Convert to fraction form
    12,467.76/17,205.03 = 7,090.40/x
  3. Step 3: Cross multiply
    12,467.76x = 17,205.03 × 7,090.40
  4. Step 4: Simplify right side
    12,467.76x = 121,990,587.72
  5. Step 5: Solve for x
    x = 121,990,587.72/12,467.76
  6. Step 6: Final answer
    x = 9,784.49

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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.