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Finding the Fourth Proportional to 6,428, 9,643.04 and 2,269.12

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Solution

The fourth proportional to 6,428, 9,643.04 and 2,269.12 is: 3,404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428 : 9,643.04 = 2,269.12 : x
  2. Step 2: Convert to fraction form
    6,428/9,643.04 = 2,269.12/x
  3. Step 3: Cross multiply
    6,428x = 9,643.04 × 2,269.12
  4. Step 4: Simplify right side
    6,428x = 21,881,214.92
  5. Step 5: Solve for x
    x = 21,881,214.92/6,428
  6. Step 6: Final answer
    x = 3,404.05

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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.