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Finding the Fourth Proportional to 15,951.84, 22,014.32 and 9,664.80

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Solution

The fourth proportional to 15,951.84, 22,014.32 and 9,664.80 is: 13,337.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,951.84 : 22,014.32 = 9,664.80 : x
  2. Step 2: Convert to fraction form
    15,951.84/22,014.32 = 9,664.80/x
  3. Step 3: Cross multiply
    15,951.84x = 22,014.32 × 9,664.80
  4. Step 4: Simplify right side
    15,951.84x = 212,763,999.94
  5. Step 5: Solve for x
    x = 212,763,999.94/15,951.84
  6. Step 6: Final answer
    x = 13,337.90

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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.