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Finding the Fourth Proportional to 9,210, 13,817.12 and 2,970.56

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Solution

The fourth proportional to 9,210, 13,817.12 and 2,970.56 is: 4,456.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210 : 13,817.12 = 2,970.56 : x
  2. Step 2: Convert to fraction form
    9,210/13,817.12 = 2,970.56/x
  3. Step 3: Cross multiply
    9,210x = 13,817.12 × 2,970.56
  4. Step 4: Simplify right side
    9,210x = 41,044,583.99
  5. Step 5: Solve for x
    x = 41,044,583.99/9,210
  6. Step 6: Final answer
    x = 4,456.52

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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.