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Finding the Fourth Proportional to 16,312, 22,512.48 and 9,688

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Solution

The fourth proportional to 16,312, 22,512.48 and 9,688 is: 13,370.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,312 : 22,512.48 = 9,688 : x
  2. Step 2: Convert to fraction form
    16,312/22,512.48 = 9,688/x
  3. Step 3: Cross multiply
    16,312x = 22,512.48 × 9,688
  4. Step 4: Simplify right side
    16,312x = 218,100,906.24
  5. Step 5: Solve for x
    x = 218,100,906.24/16,312
  6. Step 6: Final answer
    x = 13,370.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.