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Finding the Fourth Proportional to 4,143, 6,214.56 and 1,065

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Solution

The fourth proportional to 4,143, 6,214.56 and 1,065 is: 1,597.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143 : 6,214.56 = 1,065 : x
  2. Step 2: Convert to fraction form
    4,143/6,214.56 = 1,065/x
  3. Step 3: Cross multiply
    4,143x = 6,214.56 × 1,065
  4. Step 4: Simplify right side
    4,143x = 6,618,506.40
  5. Step 5: Solve for x
    x = 6,618,506.40/4,143
  6. Step 6: Final answer
    x = 1,597.52

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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.