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Finding the Fourth Proportional to 35,200, 52,823.04 and 13,312

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Solution

The fourth proportional to 35,200, 52,823.04 and 13,312 is: 19,976.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,200 : 52,823.04 = 13,312 : x
  2. Step 2: Convert to fraction form
    35,200/52,823.04 = 13,312/x
  3. Step 3: Cross multiply
    35,200x = 52,823.04 × 13,312
  4. Step 4: Simplify right side
    35,200x = 703,180,308.48
  5. Step 5: Solve for x
    x = 703,180,308.48/35,200
  6. Step 6: Final answer
    x = 19,976.71

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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.