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Finding the Fourth Proportional to 10,530, 14,531.40 and 6,804

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Solution

The fourth proportional to 10,530, 14,531.40 and 6,804 is: 9,389.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530 : 14,531.40 = 6,804 : x
  2. Step 2: Convert to fraction form
    10,530/14,531.40 = 6,804/x
  3. Step 3: Cross multiply
    10,530x = 14,531.40 × 6,804
  4. Step 4: Simplify right side
    10,530x = 98,871,645.60
  5. Step 5: Solve for x
    x = 98,871,645.60/10,530
  6. Step 6: Final answer
    x = 9,389.52

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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.