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Finding the Fourth Proportional to 14,407.77, 21,570.92 and 7,637.94

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Solution

The fourth proportional to 14,407.77, 21,570.92 and 7,637.94 is: 11,435.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407.77 : 21,570.92 = 7,637.94 : x
  2. Step 2: Convert to fraction form
    14,407.77/21,570.92 = 7,637.94/x
  3. Step 3: Cross multiply
    14,407.77x = 21,570.92 × 7,637.94
  4. Step 4: Simplify right side
    14,407.77x = 164,757,354.52
  5. Step 5: Solve for x
    x = 164,757,354.52/14,407.77
  6. Step 6: Final answer
    x = 11,435.31

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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.