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Finding the Fourth Proportional to 12,588.60, 18,904.62 and 9,289.86

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Solution

The fourth proportional to 12,588.60, 18,904.62 and 9,289.86 is: 13,950.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,588.60 : 18,904.62 = 9,289.86 : x
  2. Step 2: Convert to fraction form
    12,588.60/18,904.62 = 9,289.86/x
  3. Step 3: Cross multiply
    12,588.60x = 18,904.62 × 9,289.86
  4. Step 4: Simplify right side
    12,588.60x = 175,621,273.15
  5. Step 5: Solve for x
    x = 175,621,273.15/12,588.60
  6. Step 6: Final answer
    x = 13,950.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.