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Finding the Fourth Proportional to 10,605.99, 15,917.19 and 7,341.90

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Solution

The fourth proportional to 10,605.99, 15,917.19 and 7,341.90 is: 11,018.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.99 : 15,917.19 = 7,341.90 : x
  2. Step 2: Convert to fraction form
    10,605.99/15,917.19 = 7,341.90/x
  3. Step 3: Cross multiply
    10,605.99x = 15,917.19 × 7,341.90
  4. Step 4: Simplify right side
    10,605.99x = 116,862,417.26
  5. Step 5: Solve for x
    x = 116,862,417.26/10,605.99
  6. Step 6: Final answer
    x = 11,018.53

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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.