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Finding the Fourth Proportional to 19,802.96, 29,703.48 and 7,490

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Solution

The fourth proportional to 19,802.96, 29,703.48 and 7,490 is: 11,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.96 : 29,703.48 = 7,490 : x
  2. Step 2: Convert to fraction form
    19,802.96/29,703.48 = 7,490/x
  3. Step 3: Cross multiply
    19,802.96x = 29,703.48 × 7,490
  4. Step 4: Simplify right side
    19,802.96x = 222,479,065.20
  5. Step 5: Solve for x
    x = 222,479,065.20/19,802.96
  6. Step 6: Final answer
    x = 11,234.64

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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.