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Finding the Fourth Proportional to 12,782.96, 19,174.20 and 9,019.28

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Solution

The fourth proportional to 12,782.96, 19,174.20 and 9,019.28 is: 13,528.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.96 : 19,174.20 = 9,019.28 : x
  2. Step 2: Convert to fraction form
    12,782.96/19,174.20 = 9,019.28/x
  3. Step 3: Cross multiply
    12,782.96x = 19,174.20 × 9,019.28
  4. Step 4: Simplify right side
    12,782.96x = 172,937,478.58
  5. Step 5: Solve for x
    x = 172,937,478.58/12,782.96
  6. Step 6: Final answer
    x = 13,528.75

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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.