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Finding the Fourth Proportional to 14,118.67, 19,483.65 and 7,830.91

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Solution

The fourth proportional to 14,118.67, 19,483.65 and 7,830.91 is: 10,806.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,118.67 : 19,483.65 = 7,830.91 : x
  2. Step 2: Convert to fraction form
    14,118.67/19,483.65 = 7,830.91/x
  3. Step 3: Cross multiply
    14,118.67x = 19,483.65 × 7,830.91
  4. Step 4: Simplify right side
    14,118.67x = 152,574,709.62
  5. Step 5: Solve for x
    x = 152,574,709.62/14,118.67
  6. Step 6: Final answer
    x = 10,806.59

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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.