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Finding the Fourth Proportional to 10,152, 13,992.48 and 8,377.92

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Solution

The fourth proportional to 10,152, 13,992.48 and 8,377.92 is: 11,547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152 : 13,992.48 = 8,377.92 : x
  2. Step 2: Convert to fraction form
    10,152/13,992.48 = 8,377.92/x
  3. Step 3: Cross multiply
    10,152x = 13,992.48 × 8,377.92
  4. Step 4: Simplify right side
    10,152x = 117,227,878.04
  5. Step 5: Solve for x
    x = 117,227,878.04/10,152
  6. Step 6: Final answer
    x = 11,547.27

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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.