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Finding the Fourth Proportional to 19,911.86, 29,866.80 and 7,430.93

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Solution

The fourth proportional to 19,911.86, 29,866.80 and 7,430.93 is: 11,146.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,911.86 : 29,866.80 = 7,430.93 : x
  2. Step 2: Convert to fraction form
    19,911.86/29,866.80 = 7,430.93/x
  3. Step 3: Cross multiply
    19,911.86x = 29,866.80 × 7,430.93
  4. Step 4: Simplify right side
    19,911.86x = 221,938,100.12
  5. Step 5: Solve for x
    x = 221,938,100.12/19,911.86
  6. Step 6: Final answer
    x = 11,146.03

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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.