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Finding the Fourth Proportional to 12,305.60, 16,994.40 and 9,483.20

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Solution

The fourth proportional to 12,305.60, 16,994.40 and 9,483.20 is: 13,096.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.60 : 16,994.40 = 9,483.20 : x
  2. Step 2: Convert to fraction form
    12,305.60/16,994.40 = 9,483.20/x
  3. Step 3: Cross multiply
    12,305.60x = 16,994.40 × 9,483.20
  4. Step 4: Simplify right side
    12,305.60x = 161,161,294.08
  5. Step 5: Solve for x
    x = 161,161,294.08/12,305.60
  6. Step 6: Final answer
    x = 13,096.58

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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.