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Finding the Fourth Proportional to 11,898.36, 16,386.44 and 11,640.08

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Solution

The fourth proportional to 11,898.36, 16,386.44 and 11,640.08 is: 16,030.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.36 : 16,386.44 = 11,640.08 : x
  2. Step 2: Convert to fraction form
    11,898.36/16,386.44 = 11,640.08/x
  3. Step 3: Cross multiply
    11,898.36x = 16,386.44 × 11,640.08
  4. Step 4: Simplify right side
    11,898.36x = 190,739,332.38
  5. Step 5: Solve for x
    x = 190,739,332.38/11,898.36
  6. Step 6: Final answer
    x = 16,030.72

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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.