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Finding the Fourth Proportional to 19,163, 28,744.54 and 5,312.04

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Solution

The fourth proportional to 19,163, 28,744.54 and 5,312.04 is: 7,968.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,163 : 28,744.54 = 5,312.04 : x
  2. Step 2: Convert to fraction form
    19,163/28,744.54 = 5,312.04/x
  3. Step 3: Cross multiply
    19,163x = 28,744.54 × 5,312.04
  4. Step 4: Simplify right side
    19,163x = 152,692,146.26
  5. Step 5: Solve for x
    x = 152,692,146.26/19,163
  6. Step 6: Final answer
    x = 7,968.07

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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.