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Finding the Fourth Proportional to 12,887.64, 17,820.72 and 10,230.40

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Solution

The fourth proportional to 12,887.64, 17,820.72 and 10,230.40 is: 14,146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,887.64 : 17,820.72 = 10,230.40 : x
  2. Step 2: Convert to fraction form
    12,887.64/17,820.72 = 10,230.40/x
  3. Step 3: Cross multiply
    12,887.64x = 17,820.72 × 10,230.40
  4. Step 4: Simplify right side
    12,887.64x = 182,313,093.89
  5. Step 5: Solve for x
    x = 182,313,093.89/12,887.64
  6. Step 6: Final answer
    x = 14,146.35

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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.