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Finding the Fourth Proportional to 2,303.46, 3,454.98 and 1,207.50

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Solution

The fourth proportional to 2,303.46, 3,454.98 and 1,207.50 is: 1,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.46 : 3,454.98 = 1,207.50 : x
  2. Step 2: Convert to fraction form
    2,303.46/3,454.98 = 1,207.50/x
  3. Step 3: Cross multiply
    2,303.46x = 3,454.98 × 1,207.50
  4. Step 4: Simplify right side
    2,303.46x = 4,171,888.35
  5. Step 5: Solve for x
    x = 4,171,888.35/2,303.46
  6. Step 6: Final answer
    x = 1,811.14

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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.