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Finding the Fourth Proportional to 15,985.60, 23,968.80 and 8,209.60

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Solution

The fourth proportional to 15,985.60, 23,968.80 and 8,209.60 is: 12,309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,985.60 : 23,968.80 = 8,209.60 : x
  2. Step 2: Convert to fraction form
    15,985.60/23,968.80 = 8,209.60/x
  3. Step 3: Cross multiply
    15,985.60x = 23,968.80 × 8,209.60
  4. Step 4: Simplify right side
    15,985.60x = 196,774,260.48
  5. Step 5: Solve for x
    x = 196,774,260.48/15,985.60
  6. Step 6: Final answer
    x = 12,309.47

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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.