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Finding the Fourth Proportional to 17,015.20, 25,526.64 and 7,783.84

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Solution

The fourth proportional to 17,015.20, 25,526.64 and 7,783.84 is: 11,677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,015.20 : 25,526.64 = 7,783.84 : x
  2. Step 2: Convert to fraction form
    17,015.20/25,526.64 = 7,783.84/x
  3. Step 3: Cross multiply
    17,015.20x = 25,526.64 × 7,783.84
  4. Step 4: Simplify right side
    17,015.20x = 198,695,281.50
  5. Step 5: Solve for x
    x = 198,695,281.50/17,015.20
  6. Step 6: Final answer
    x = 11,677.52

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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.