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Finding the Fourth Proportional to 9,210, 12,709.92 and 5,484

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Solution

The fourth proportional to 9,210, 12,709.92 and 5,484 is: 7,567.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210 : 12,709.92 = 5,484 : x
  2. Step 2: Convert to fraction form
    9,210/12,709.92 = 5,484/x
  3. Step 3: Cross multiply
    9,210x = 12,709.92 × 5,484
  4. Step 4: Simplify right side
    9,210x = 69,701,201.28
  5. Step 5: Solve for x
    x = 69,701,201.28/9,210
  6. Step 6: Final answer
    x = 7,567.99

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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.