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Finding the Fourth Proportional to 8,970.84, 12,379.59 and 4,991.94

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Solution

The fourth proportional to 8,970.84, 12,379.59 and 4,991.94 is: 6,888.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.84 : 12,379.59 = 4,991.94 : x
  2. Step 2: Convert to fraction form
    8,970.84/12,379.59 = 4,991.94/x
  3. Step 3: Cross multiply
    8,970.84x = 12,379.59 × 4,991.94
  4. Step 4: Simplify right side
    8,970.84x = 61,798,170.50
  5. Step 5: Solve for x
    x = 61,798,170.50/8,970.84
  6. Step 6: Final answer
    x = 6,888.78

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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.