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Finding the Fourth Proportional to 28,491.84, 42,746.40 and 13,696.56

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Solution

The fourth proportional to 28,491.84, 42,746.40 and 13,696.56 is: 20,548.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,491.84 : 42,746.40 = 13,696.56 : x
  2. Step 2: Convert to fraction form
    28,491.84/42,746.40 = 13,696.56/x
  3. Step 3: Cross multiply
    28,491.84x = 42,746.40 × 13,696.56
  4. Step 4: Simplify right side
    28,491.84x = 585,478,632.38
  5. Step 5: Solve for x
    x = 585,478,632.38/28,491.84
  6. Step 6: Final answer
    x = 20,548.99

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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.