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Finding the Fourth Proportional to 11,693.52, 16,140 and 7,509.06

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Solution

The fourth proportional to 11,693.52, 16,140 and 7,509.06 is: 10,364.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.52 : 16,140 = 7,509.06 : x
  2. Step 2: Convert to fraction form
    11,693.52/16,140 = 7,509.06/x
  3. Step 3: Cross multiply
    11,693.52x = 16,140 × 7,509.06
  4. Step 4: Simplify right side
    11,693.52x = 121,196,228.40
  5. Step 5: Solve for x
    x = 121,196,228.40/11,693.52
  6. Step 6: Final answer
    x = 10,364.39

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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.