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Finding the Fourth Proportional to 19,155.84, 28,739.64 and 9,802.51

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Solution

The fourth proportional to 19,155.84, 28,739.64 and 9,802.51 is: 14,706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,155.84 : 28,739.64 = 9,802.51 : x
  2. Step 2: Convert to fraction form
    19,155.84/28,739.64 = 9,802.51/x
  3. Step 3: Cross multiply
    19,155.84x = 28,739.64 × 9,802.51
  4. Step 4: Simplify right side
    19,155.84x = 281,720,571.53
  5. Step 5: Solve for x
    x = 281,720,571.53/19,155.84
  6. Step 6: Final answer
    x = 14,706.77

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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.