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Finding the Fourth Proportional to 19,294.86, 28,944 and 7,605.30

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Solution

The fourth proportional to 19,294.86, 28,944 and 7,605.30 is: 11,408.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,294.86 : 28,944 = 7,605.30 : x
  2. Step 2: Convert to fraction form
    19,294.86/28,944 = 7,605.30/x
  3. Step 3: Cross multiply
    19,294.86x = 28,944 × 7,605.30
  4. Step 4: Simplify right side
    19,294.86x = 220,127,803.20
  5. Step 5: Solve for x
    x = 220,127,803.20/19,294.86
  6. Step 6: Final answer
    x = 11,408.62

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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.