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Finding the Fourth Proportional to 8,535.65, 12,769.70 and 6,461.64

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Solution

The fourth proportional to 8,535.65, 12,769.70 and 6,461.64 is: 9,666.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.65 : 12,769.70 = 6,461.64 : x
  2. Step 2: Convert to fraction form
    8,535.65/12,769.70 = 6,461.64/x
  3. Step 3: Cross multiply
    8,535.65x = 12,769.70 × 6,461.64
  4. Step 4: Simplify right side
    8,535.65x = 82,513,172.00
  5. Step 5: Solve for x
    x = 82,513,172.00/8,535.65
  6. Step 6: Final answer
    x = 9,666.89

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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.