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Finding the Fourth Proportional to 9,664, 13,336.32 and 5,248

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Solution

The fourth proportional to 9,664, 13,336.32 and 5,248 is: 7,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664 : 13,336.32 = 5,248 : x
  2. Step 2: Convert to fraction form
    9,664/13,336.32 = 5,248/x
  3. Step 3: Cross multiply
    9,664x = 13,336.32 × 5,248
  4. Step 4: Simplify right side
    9,664x = 69,989,007.36
  5. Step 5: Solve for x
    x = 69,989,007.36/9,664
  6. Step 6: Final answer
    x = 7,242.24

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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.