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Finding the Fourth Proportional to 15,205.92, 20,984.31 and 8,746.53

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Solution

The fourth proportional to 15,205.92, 20,984.31 and 8,746.53 is: 12,070.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.92 : 20,984.31 = 8,746.53 : x
  2. Step 2: Convert to fraction form
    15,205.92/20,984.31 = 8,746.53/x
  3. Step 3: Cross multiply
    15,205.92x = 20,984.31 × 8,746.53
  4. Step 4: Simplify right side
    15,205.92x = 183,539,896.94
  5. Step 5: Solve for x
    x = 183,539,896.94/15,205.92
  6. Step 6: Final answer
    x = 12,070.29

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1.5x scale

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.