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Finding the Fourth Proportional to 12,906.40, 17,810.58 and 8,421.64

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Solution

The fourth proportional to 12,906.40, 17,810.58 and 8,421.64 is: 11,621.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.40 : 17,810.58 = 8,421.64 : x
  2. Step 2: Convert to fraction form
    12,906.40/17,810.58 = 8,421.64/x
  3. Step 3: Cross multiply
    12,906.40x = 17,810.58 × 8,421.64
  4. Step 4: Simplify right side
    12,906.40x = 149,994,292.95
  5. Step 5: Solve for x
    x = 149,994,292.95/12,906.40
  6. Step 6: Final answer
    x = 11,621.70

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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.