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Finding the Fourth Proportional to 19,130.88, 28,699.20 and 6,816

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Solution

The fourth proportional to 19,130.88, 28,699.20 and 6,816 is: 10,225.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,130.88 : 28,699.20 = 6,816 : x
  2. Step 2: Convert to fraction form
    19,130.88/28,699.20 = 6,816/x
  3. Step 3: Cross multiply
    19,130.88x = 28,699.20 × 6,816
  4. Step 4: Simplify right side
    19,130.88x = 195,613,747.20
  5. Step 5: Solve for x
    x = 195,613,747.20/19,130.88
  6. Step 6: Final answer
    x = 10,225.03

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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.