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Finding the Fourth Proportional to 3,643.58, 5,465.64 and 1,046.72

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Solution

The fourth proportional to 3,643.58, 5,465.64 and 1,046.72 is: 1,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.58 : 5,465.64 = 1,046.72 : x
  2. Step 2: Convert to fraction form
    3,643.58/5,465.64 = 1,046.72/x
  3. Step 3: Cross multiply
    3,643.58x = 5,465.64 × 1,046.72
  4. Step 4: Simplify right side
    3,643.58x = 5,720,994.70
  5. Step 5: Solve for x
    x = 5,720,994.70/3,643.58
  6. Step 6: Final answer
    x = 1,570.16

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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.