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Finding the Fourth Proportional to 13,715.36, 20,574 and 6,788

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Solution

The fourth proportional to 13,715.36, 20,574 and 6,788 is: 10,182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.36 : 20,574 = 6,788 : x
  2. Step 2: Convert to fraction form
    13,715.36/20,574 = 6,788/x
  3. Step 3: Cross multiply
    13,715.36x = 20,574 × 6,788
  4. Step 4: Simplify right side
    13,715.36x = 139,656,312
  5. Step 5: Solve for x
    x = 139,656,312/13,715.36
  6. Step 6: Final answer
    x = 10,182.48

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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.