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Finding the Fourth Proportional to 14,074.83, 19,423.80 and 7,788.42

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Solution

The fourth proportional to 14,074.83, 19,423.80 and 7,788.42 is: 10,748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074.83 : 19,423.80 = 7,788.42 : x
  2. Step 2: Convert to fraction form
    14,074.83/19,423.80 = 7,788.42/x
  3. Step 3: Cross multiply
    14,074.83x = 19,423.80 × 7,788.42
  4. Step 4: Simplify right side
    14,074.83x = 151,280,712.40
  5. Step 5: Solve for x
    x = 151,280,712.40/14,074.83
  6. Step 6: Final answer
    x = 10,748.32

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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.