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Finding the Fourth Proportional to 14,480.25, 19,978.65 and 8,509.74

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Solution

The fourth proportional to 14,480.25, 19,978.65 and 8,509.74 is: 11,741.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,480.25 : 19,978.65 = 8,509.74 : x
  2. Step 2: Convert to fraction form
    14,480.25/19,978.65 = 8,509.74/x
  3. Step 3: Cross multiply
    14,480.25x = 19,978.65 × 8,509.74
  4. Step 4: Simplify right side
    14,480.25x = 170,013,117.05
  5. Step 5: Solve for x
    x = 170,013,117.05/14,480.25
  6. Step 6: Final answer
    x = 11,741.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.