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Finding the Fourth Proportional to 13,707.60, 18,924.64 and 9,000.08

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Solution

The fourth proportional to 13,707.60, 18,924.64 and 9,000.08 is: 12,425.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.60 : 18,924.64 = 9,000.08 : x
  2. Step 2: Convert to fraction form
    13,707.60/18,924.64 = 9,000.08/x
  3. Step 3: Cross multiply
    13,707.60x = 18,924.64 × 9,000.08
  4. Step 4: Simplify right side
    13,707.60x = 170,323,273.97
  5. Step 5: Solve for x
    x = 170,323,273.97/13,707.60
  6. Step 6: Final answer
    x = 12,425.46

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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.