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Finding the Fourth Proportional to 13,615.64, 18,784.80 and 8,902.70

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Solution

The fourth proportional to 13,615.64, 18,784.80 and 8,902.70 is: 12,282.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615.64 : 18,784.80 = 8,902.70 : x
  2. Step 2: Convert to fraction form
    13,615.64/18,784.80 = 8,902.70/x
  3. Step 3: Cross multiply
    13,615.64x = 18,784.80 × 8,902.70
  4. Step 4: Simplify right side
    13,615.64x = 167,235,438.96
  5. Step 5: Solve for x
    x = 167,235,438.96/13,615.64
  6. Step 6: Final answer
    x = 12,282.60

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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.