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Finding the Fourth Proportional to 14,073.66, 19,421.19 and 7,785.18

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Solution

The fourth proportional to 14,073.66, 19,421.19 and 7,785.18 is: 10,743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,073.66 : 19,421.19 = 7,785.18 : x
  2. Step 2: Convert to fraction form
    14,073.66/19,421.19 = 7,785.18/x
  3. Step 3: Cross multiply
    14,073.66x = 19,421.19 × 7,785.18
  4. Step 4: Simplify right side
    14,073.66x = 151,197,459.96
  5. Step 5: Solve for x
    x = 151,197,459.96/14,073.66
  6. Step 6: Final answer
    x = 10,743.29

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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.