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Finding the Fourth Proportional to 9,178.66, 12,666.54 and 4,986.88

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Solution

The fourth proportional to 9,178.66, 12,666.54 and 4,986.88 is: 6,881.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.66 : 12,666.54 = 4,986.88 : x
  2. Step 2: Convert to fraction form
    9,178.66/12,666.54 = 4,986.88/x
  3. Step 3: Cross multiply
    9,178.66x = 12,666.54 × 4,986.88
  4. Step 4: Simplify right side
    9,178.66x = 63,166,515.00
  5. Step 5: Solve for x
    x = 63,166,515.00/9,178.66
  6. Step 6: Final answer
    x = 6,881.89

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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.