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Finding the Fourth Proportional to 3,746.14, 5,631.52 and 3,475.50

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Solution

The fourth proportional to 3,746.14, 5,631.52 and 3,475.50 is: 5,224.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.14 : 5,631.52 = 3,475.50 : x
  2. Step 2: Convert to fraction form
    3,746.14/5,631.52 = 3,475.50/x
  3. Step 3: Cross multiply
    3,746.14x = 5,631.52 × 3,475.50
  4. Step 4: Simplify right side
    3,746.14x = 19,572,347.76
  5. Step 5: Solve for x
    x = 19,572,347.76/3,746.14
  6. Step 6: Final answer
    x = 5,224.67

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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.