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Finding the Fourth Proportional to 14,509.86, 21,735.63 and 7,569.78

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Solution

The fourth proportional to 14,509.86, 21,735.63 and 7,569.78 is: 11,339.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.86 : 21,735.63 = 7,569.78 : x
  2. Step 2: Convert to fraction form
    14,509.86/21,735.63 = 7,569.78/x
  3. Step 3: Cross multiply
    14,509.86x = 21,735.63 × 7,569.78
  4. Step 4: Simplify right side
    14,509.86x = 164,534,010.52
  5. Step 5: Solve for x
    x = 164,534,010.52/14,509.86
  6. Step 6: Final answer
    x = 11,339.46

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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.