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Finding the Fourth Proportional to 10,530, 14,534.30 and 6,548.75

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Solution

The fourth proportional to 10,530, 14,534.30 and 6,548.75 is: 9,039.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530 : 14,534.30 = 6,548.75 : x
  2. Step 2: Convert to fraction form
    10,530/14,534.30 = 6,548.75/x
  3. Step 3: Cross multiply
    10,530x = 14,534.30 × 6,548.75
  4. Step 4: Simplify right side
    10,530x = 95,181,497.13
  5. Step 5: Solve for x
    x = 95,181,497.13/10,530
  6. Step 6: Final answer
    x = 9,039.08

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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.