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Finding the Fourth Proportional to 10,509, 14,502.60 and 6,789.48

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Solution

The fourth proportional to 10,509, 14,502.60 and 6,789.48 is: 9,369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509 : 14,502.60 = 6,789.48 : x
  2. Step 2: Convert to fraction form
    10,509/14,502.60 = 6,789.48/x
  3. Step 3: Cross multiply
    10,509x = 14,502.60 × 6,789.48
  4. Step 4: Simplify right side
    10,509x = 98,465,112.65
  5. Step 5: Solve for x
    x = 98,465,112.65/10,509
  6. Step 6: Final answer
    x = 9,369.60

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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.