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Finding the Fourth Proportional to 8,390.34, 12,570.93 and 4,487.76

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Solution

The fourth proportional to 8,390.34, 12,570.93 and 4,487.76 is: 6,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.34 : 12,570.93 = 4,487.76 : x
  2. Step 2: Convert to fraction form
    8,390.34/12,570.93 = 4,487.76/x
  3. Step 3: Cross multiply
    8,390.34x = 12,570.93 × 4,487.76
  4. Step 4: Simplify right side
    8,390.34x = 56,415,316.82
  5. Step 5: Solve for x
    x = 56,415,316.82/8,390.34
  6. Step 6: Final answer
    x = 6,723.84

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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.