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Finding the Fourth Proportional to 19,521, 29,263.68 and 7,030.80

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Solution

The fourth proportional to 19,521, 29,263.68 and 7,030.80 is: 10,539.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,521 : 29,263.68 = 7,030.80 : x
  2. Step 2: Convert to fraction form
    19,521/29,263.68 = 7,030.80/x
  3. Step 3: Cross multiply
    19,521x = 29,263.68 × 7,030.80
  4. Step 4: Simplify right side
    19,521x = 205,747,081.34
  5. Step 5: Solve for x
    x = 205,747,081.34/19,521
  6. Step 6: Final answer
    x = 10,539.78

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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.