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Finding the Fourth Proportional to 12,913.60, 17,810.40 and 8,199.04

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Solution

The fourth proportional to 12,913.60, 17,810.40 and 8,199.04 is: 11,308.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913.60 : 17,810.40 = 8,199.04 : x
  2. Step 2: Convert to fraction form
    12,913.60/17,810.40 = 8,199.04/x
  3. Step 3: Cross multiply
    12,913.60x = 17,810.40 × 8,199.04
  4. Step 4: Simplify right side
    12,913.60x = 146,028,182.02
  5. Step 5: Solve for x
    x = 146,028,182.02/12,913.60
  6. Step 6: Final answer
    x = 11,308.09

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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.