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Finding the Fourth Proportional to 7,643, 11,465.04 and 3,026

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Solution

The fourth proportional to 7,643, 11,465.04 and 3,026 is: 4,539.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643 : 11,465.04 = 3,026 : x
  2. Step 2: Convert to fraction form
    7,643/11,465.04 = 3,026/x
  3. Step 3: Cross multiply
    7,643x = 11,465.04 × 3,026
  4. Step 4: Simplify right side
    7,643x = 34,693,211.04
  5. Step 5: Solve for x
    x = 34,693,211.04/7,643
  6. Step 6: Final answer
    x = 4,539.21

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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.