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Finding the Fourth Proportional to 7,345.90, 10,137.14 and 4,201.90

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Solution

The fourth proportional to 7,345.90, 10,137.14 and 4,201.90 is: 5,798.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345.90 : 10,137.14 = 4,201.90 : x
  2. Step 2: Convert to fraction form
    7,345.90/10,137.14 = 4,201.90/x
  3. Step 3: Cross multiply
    7,345.90x = 10,137.14 × 4,201.90
  4. Step 4: Simplify right side
    7,345.90x = 42,595,248.57
  5. Step 5: Solve for x
    x = 42,595,248.57/7,345.90
  6. Step 6: Final answer
    x = 5,798.51

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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.