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Finding the Fourth Proportional to 4,303, 6,454.55 and 1,381.30

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Solution

The fourth proportional to 4,303, 6,454.55 and 1,381.30 is: 2,071.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303 : 6,454.55 = 1,381.30 : x
  2. Step 2: Convert to fraction form
    4,303/6,454.55 = 1,381.30/x
  3. Step 3: Cross multiply
    4,303x = 6,454.55 × 1,381.30
  4. Step 4: Simplify right side
    4,303x = 8,915,669.92
  5. Step 5: Solve for x
    x = 8,915,669.92/4,303
  6. Step 6: Final answer
    x = 2,071.97

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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.