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Finding the Fourth Proportional to 3,095.50, 4,643.98 and 1,043.50

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Solution

The fourth proportional to 3,095.50, 4,643.98 and 1,043.50 is: 1,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.50 : 4,643.98 = 1,043.50 : x
  2. Step 2: Convert to fraction form
    3,095.50/4,643.98 = 1,043.50/x
  3. Step 3: Cross multiply
    3,095.50x = 4,643.98 × 1,043.50
  4. Step 4: Simplify right side
    3,095.50x = 4,845,993.13
  5. Step 5: Solve for x
    x = 4,845,993.13/3,095.50
  6. Step 6: Final answer
    x = 1,565.50

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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.