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Finding the Fourth Proportional to 14,162.15, 19,543.35 and 7,788.74

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Solution

The fourth proportional to 14,162.15, 19,543.35 and 7,788.74 is: 10,748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,162.15 : 19,543.35 = 7,788.74 : x
  2. Step 2: Convert to fraction form
    14,162.15/19,543.35 = 7,788.74/x
  3. Step 3: Cross multiply
    14,162.15x = 19,543.35 × 7,788.74
  4. Step 4: Simplify right side
    14,162.15x = 152,217,974.16
  5. Step 5: Solve for x
    x = 152,217,974.16/14,162.15
  6. Step 6: Final answer
    x = 10,748.22

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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.