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Finding the Fourth Proportional to 8,506, 11,749.43 and 5,848.79

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Solution

The fourth proportional to 8,506, 11,749.43 and 5,848.79 is: 8,079.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506 : 11,749.43 = 5,848.79 : x
  2. Step 2: Convert to fraction form
    8,506/11,749.43 = 5,848.79/x
  3. Step 3: Cross multiply
    8,506x = 11,749.43 × 5,848.79
  4. Step 4: Simplify right side
    8,506x = 68,719,948.69
  5. Step 5: Solve for x
    x = 68,719,948.69/8,506
  6. Step 6: Final answer
    x = 8,079.00

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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.