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Finding the Fourth Proportional to 5,064, 6,988.32 and 2,856

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Solution

The fourth proportional to 5,064, 6,988.32 and 2,856 is: 3,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064 : 6,988.32 = 2,856 : x
  2. Step 2: Convert to fraction form
    5,064/6,988.32 = 2,856/x
  3. Step 3: Cross multiply
    5,064x = 6,988.32 × 2,856
  4. Step 4: Simplify right side
    5,064x = 19,958,641.92
  5. Step 5: Solve for x
    x = 19,958,641.92/5,064
  6. Step 6: Final answer
    x = 3,941.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.