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Finding the Fourth Proportional to 10,951.12, 16,428 and 3,160

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Solution

The fourth proportional to 10,951.12, 16,428 and 3,160 is: 4,740.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951.12 : 16,428 = 3,160 : x
  2. Step 2: Convert to fraction form
    10,951.12/16,428 = 3,160/x
  3. Step 3: Cross multiply
    10,951.12x = 16,428 × 3,160
  4. Step 4: Simplify right side
    10,951.12x = 51,912,480
  5. Step 5: Solve for x
    x = 51,912,480/10,951.12
  6. Step 6: Final answer
    x = 4,740.38

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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.