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Finding the Fourth Proportional to 8,513, 11,747.96 and 4,978.16

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Solution

The fourth proportional to 8,513, 11,747.96 and 4,978.16 is: 6,869.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513 : 11,747.96 = 4,978.16 : x
  2. Step 2: Convert to fraction form
    8,513/11,747.96 = 4,978.16/x
  3. Step 3: Cross multiply
    8,513x = 11,747.96 × 4,978.16
  4. Step 4: Simplify right side
    8,513x = 58,483,224.55
  5. Step 5: Solve for x
    x = 58,483,224.55/8,513
  6. Step 6: Final answer
    x = 6,869.87

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1.5x scale

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.