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Finding the Fourth Proportional to 15,362.14, 21,200.14 and 8,648

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Solution

The fourth proportional to 15,362.14, 21,200.14 and 8,648 is: 11,934.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,362.14 : 21,200.14 = 8,648 : x
  2. Step 2: Convert to fraction form
    15,362.14/21,200.14 = 8,648/x
  3. Step 3: Cross multiply
    15,362.14x = 21,200.14 × 8,648
  4. Step 4: Simplify right side
    15,362.14x = 183,338,821.53
  5. Step 5: Solve for x
    x = 183,338,821.53/15,362.14
  6. Step 6: Final answer
    x = 11,934.46

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1.5x scale

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.