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Finding the Fourth Proportional to 9,640.85, 14,461.11 and 2,621.00

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Solution

The fourth proportional to 9,640.85, 14,461.11 and 2,621.00 is: 3,931.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.85 : 14,461.11 = 2,621.00 : x
  2. Step 2: Convert to fraction form
    9,640.85/14,461.11 = 2,621.00/x
  3. Step 3: Cross multiply
    9,640.85x = 14,461.11 × 2,621.00
  4. Step 4: Simplify right side
    9,640.85x = 37,902,605.46
  5. Step 5: Solve for x
    x = 37,902,605.46/9,640.85
  6. Step 6: Final answer
    x = 3,931.46

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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.