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Finding the Fourth Proportional to 15,300, 21,117.60 and 9,336.60

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Solution

The fourth proportional to 15,300, 21,117.60 and 9,336.60 is: 12,886.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,300 : 21,117.60 = 9,336.60 : x
  2. Step 2: Convert to fraction form
    15,300/21,117.60 = 9,336.60/x
  3. Step 3: Cross multiply
    15,300x = 21,117.60 × 9,336.60
  4. Step 4: Simplify right side
    15,300x = 197,166,584.16
  5. Step 5: Solve for x
    x = 197,166,584.16/15,300
  6. Step 6: Final answer
    x = 12,886.70

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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.