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Finding the Fourth Proportional to 8,259.17, 11,393.06 and 5,427

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Solution

The fourth proportional to 8,259.17, 11,393.06 and 5,427 is: 7,486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259.17 : 11,393.06 = 5,427 : x
  2. Step 2: Convert to fraction form
    8,259.17/11,393.06 = 5,427/x
  3. Step 3: Cross multiply
    8,259.17x = 11,393.06 × 5,427
  4. Step 4: Simplify right side
    8,259.17x = 61,830,109.49
  5. Step 5: Solve for x
    x = 61,830,109.49/8,259.17
  6. Step 6: Final answer
    x = 7,486.24

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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.