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Finding the Fourth Proportional to 6,453, 9,681.12 and 1,836

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Solution

The fourth proportional to 6,453, 9,681.12 and 1,836 is: 2,754.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453 : 9,681.12 = 1,836 : x
  2. Step 2: Convert to fraction form
    6,453/9,681.12 = 1,836/x
  3. Step 3: Cross multiply
    6,453x = 9,681.12 × 1,836
  4. Step 4: Simplify right side
    6,453x = 17,774,536.32
  5. Step 5: Solve for x
    x = 17,774,536.32/6,453
  6. Step 6: Final answer
    x = 2,754.46

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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.