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Finding the Fourth Proportional to 9,904, 13,667.54 and 5,488

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Solution

The fourth proportional to 9,904, 13,667.54 and 5,488 is: 7,573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904 : 13,667.54 = 5,488 : x
  2. Step 2: Convert to fraction form
    9,904/13,667.54 = 5,488/x
  3. Step 3: Cross multiply
    9,904x = 13,667.54 × 5,488
  4. Step 4: Simplify right side
    9,904x = 75,007,459.52
  5. Step 5: Solve for x
    x = 75,007,459.52/9,904
  6. Step 6: Final answer
    x = 7,573.45

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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.