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Finding the Fourth Proportional to 2,230.96, 3,345.90 and 1,437.90

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Solution

The fourth proportional to 2,230.96, 3,345.90 and 1,437.90 is: 2,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.96 : 3,345.90 = 1,437.90 : x
  2. Step 2: Convert to fraction form
    2,230.96/3,345.90 = 1,437.90/x
  3. Step 3: Cross multiply
    2,230.96x = 3,345.90 × 1,437.90
  4. Step 4: Simplify right side
    2,230.96x = 4,811,069.61
  5. Step 5: Solve for x
    x = 4,811,069.61/2,230.96
  6. Step 6: Final answer
    x = 2,156.50

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1.5x scale

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.