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Finding the Fourth Proportional to 12,860.64, 17,750.16 and 8,146.08

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Solution

The fourth proportional to 12,860.64, 17,750.16 and 8,146.08 is: 11,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,860.64 : 17,750.16 = 8,146.08 : x
  2. Step 2: Convert to fraction form
    12,860.64/17,750.16 = 8,146.08/x
  3. Step 3: Cross multiply
    12,860.64x = 17,750.16 × 8,146.08
  4. Step 4: Simplify right side
    12,860.64x = 144,594,223.37
  5. Step 5: Solve for x
    x = 144,594,223.37/12,860.64
  6. Step 6: Final answer
    x = 11,243.16

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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.