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Finding the Fourth Proportional to 13,210, 19,801.04 and 4,884.67

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Solution

The fourth proportional to 13,210, 19,801.04 and 4,884.67 is: 7,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,210 : 19,801.04 = 4,884.67 : x
  2. Step 2: Convert to fraction form
    13,210/19,801.04 = 4,884.67/x
  3. Step 3: Cross multiply
    13,210x = 19,801.04 × 4,884.67
  4. Step 4: Simplify right side
    13,210x = 96,721,521.63
  5. Step 5: Solve for x
    x = 96,721,521.63/13,210
  6. Step 6: Final answer
    x = 7,321.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.