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Finding the Fourth Proportional to 13,714.29, 18,925.74 and 7,426.67

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Solution

The fourth proportional to 13,714.29, 18,925.74 and 7,426.67 is: 10,248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.29 : 18,925.74 = 7,426.67 : x
  2. Step 2: Convert to fraction form
    13,714.29/18,925.74 = 7,426.67/x
  3. Step 3: Cross multiply
    13,714.29x = 18,925.74 × 7,426.67
  4. Step 4: Simplify right side
    13,714.29x = 140,555,130.86
  5. Step 5: Solve for x
    x = 140,555,130.86/13,714.29
  6. Step 6: Final answer
    x = 10,248.81

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