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Finding the Fourth Proportional to 11,501.52, 17,255.52 and 8,384.64

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Solution

The fourth proportional to 11,501.52, 17,255.52 and 8,384.64 is: 12,579.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,501.52 : 17,255.52 = 8,384.64 : x
  2. Step 2: Convert to fraction form
    11,501.52/17,255.52 = 8,384.64/x
  3. Step 3: Cross multiply
    11,501.52x = 17,255.52 × 8,384.64
  4. Step 4: Simplify right side
    11,501.52x = 144,681,323.21
  5. Step 5: Solve for x
    x = 144,681,323.21/11,501.52
  6. Step 6: Final answer
    x = 12,579.32

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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.