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Finding the Fourth Proportional to 8,530.76, 12,777.66 and 4,139

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Solution

The fourth proportional to 8,530.76, 12,777.66 and 4,139 is: 6,199.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.76 : 12,777.66 = 4,139 : x
  2. Step 2: Convert to fraction form
    8,530.76/12,777.66 = 4,139/x
  3. Step 3: Cross multiply
    8,530.76x = 12,777.66 × 4,139
  4. Step 4: Simplify right side
    8,530.76x = 52,886,734.74
  5. Step 5: Solve for x
    x = 52,886,734.74/8,530.76
  6. Step 6: Final answer
    x = 6,199.53

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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.