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Finding the Fourth Proportional to 10,700.40, 16,047.72 and 3,774

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Solution

The fourth proportional to 10,700.40, 16,047.72 and 3,774 is: 5,659.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.40 : 16,047.72 = 3,774 : x
  2. Step 2: Convert to fraction form
    10,700.40/16,047.72 = 3,774/x
  3. Step 3: Cross multiply
    10,700.40x = 16,047.72 × 3,774
  4. Step 4: Simplify right side
    10,700.40x = 60,564,095.28
  5. Step 5: Solve for x
    x = 60,564,095.28/10,700.40
  6. Step 6: Final answer
    x = 5,659.98

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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.