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Finding the Fourth Proportional to 13,196, 18,210.48 and 7,308

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Solution

The fourth proportional to 13,196, 18,210.48 and 7,308 is: 10,085.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196 : 18,210.48 = 7,308 : x
  2. Step 2: Convert to fraction form
    13,196/18,210.48 = 7,308/x
  3. Step 3: Cross multiply
    13,196x = 18,210.48 × 7,308
  4. Step 4: Simplify right side
    13,196x = 133,082,187.84
  5. Step 5: Solve for x
    x = 133,082,187.84/13,196
  6. Step 6: Final answer
    x = 10,085.04

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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.