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Finding the Fourth Proportional to 9,718, 13,410.86 and 5,302

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Solution

The fourth proportional to 9,718, 13,410.86 and 5,302 is: 7,316.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718 : 13,410.86 = 5,302 : x
  2. Step 2: Convert to fraction form
    9,718/13,410.86 = 5,302/x
  3. Step 3: Cross multiply
    9,718x = 13,410.86 × 5,302
  4. Step 4: Simplify right side
    9,718x = 71,104,379.72
  5. Step 5: Solve for x
    x = 71,104,379.72/9,718
  6. Step 6: Final answer
    x = 7,316.77

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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.