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Finding the Fourth Proportional to 14,857.89, 20,503.71 and 8,051.77

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Solution

The fourth proportional to 14,857.89, 20,503.71 and 8,051.77 is: 11,111.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,857.89 : 20,503.71 = 8,051.77 : x
  2. Step 2: Convert to fraction form
    14,857.89/20,503.71 = 8,051.77/x
  3. Step 3: Cross multiply
    14,857.89x = 20,503.71 × 8,051.77
  4. Step 4: Simplify right side
    14,857.89x = 165,091,014.29
  5. Step 5: Solve for x
    x = 165,091,014.29/14,857.89
  6. Step 6: Final answer
    x = 11,111.34

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1.5x scale

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.