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Finding the Fourth Proportional to 10,492.80, 15,739.20 and 9,196.80

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Solution

The fourth proportional to 10,492.80, 15,739.20 and 9,196.80 is: 13,795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.80 : 15,739.20 = 9,196.80 : x
  2. Step 2: Convert to fraction form
    10,492.80/15,739.20 = 9,196.80/x
  3. Step 3: Cross multiply
    10,492.80x = 15,739.20 × 9,196.80
  4. Step 4: Simplify right side
    10,492.80x = 144,750,274.56
  5. Step 5: Solve for x
    x = 144,750,274.56/10,492.80
  6. Step 6: Final answer
    x = 13,795.20

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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.