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Finding the Fourth Proportional to 14,117.12, 19,477.12 and 8,148

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Solution

The fourth proportional to 14,117.12, 19,477.12 and 8,148 is: 11,241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.12 : 19,477.12 = 8,148 : x
  2. Step 2: Convert to fraction form
    14,117.12/19,477.12 = 8,148/x
  3. Step 3: Cross multiply
    14,117.12x = 19,477.12 × 8,148
  4. Step 4: Simplify right side
    14,117.12x = 158,699,573.76
  5. Step 5: Solve for x
    x = 158,699,573.76/14,117.12
  6. Step 6: Final answer
    x = 11,241.64

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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.