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Finding the Fourth Proportional to 14,094, 21,148.77 and 7,857.51

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Solution

The fourth proportional to 14,094, 21,148.77 and 7,857.51 is: 11,790.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,094 : 21,148.77 = 7,857.51 : x
  2. Step 2: Convert to fraction form
    14,094/21,148.77 = 7,857.51/x
  3. Step 3: Cross multiply
    14,094x = 21,148.77 × 7,857.51
  4. Step 4: Simplify right side
    14,094x = 166,176,671.76
  5. Step 5: Solve for x
    x = 166,176,671.76/14,094
  6. Step 6: Final answer
    x = 11,790.60

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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.