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Finding the Fourth Proportional to 9,771, 13,484.46 and 5,355

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Solution

The fourth proportional to 9,771, 13,484.46 and 5,355 is: 7,390.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771 : 13,484.46 = 5,355 : x
  2. Step 2: Convert to fraction form
    9,771/13,484.46 = 5,355/x
  3. Step 3: Cross multiply
    9,771x = 13,484.46 × 5,355
  4. Step 4: Simplify right side
    9,771x = 72,209,283.30
  5. Step 5: Solve for x
    x = 72,209,283.30/9,771
  6. Step 6: Final answer
    x = 7,390.16

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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.