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Finding the Fourth Proportional to 11,957.50, 16,501.35 and 6,989.50

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Solution

The fourth proportional to 11,957.50, 16,501.35 and 6,989.50 is: 9,645.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.50 : 16,501.35 = 6,989.50 : x
  2. Step 2: Convert to fraction form
    11,957.50/16,501.35 = 6,989.50/x
  3. Step 3: Cross multiply
    11,957.50x = 16,501.35 × 6,989.50
  4. Step 4: Simplify right side
    11,957.50x = 115,336,185.83
  5. Step 5: Solve for x
    x = 115,336,185.83/11,957.50
  6. Step 6: Final answer
    x = 9,645.51

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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.