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Finding the Fourth Proportional to 9,779.86, 13,492.68 and 6,424.49

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Solution

The fourth proportional to 9,779.86, 13,492.68 and 6,424.49 is: 8,863.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.86 : 13,492.68 = 6,424.49 : x
  2. Step 2: Convert to fraction form
    9,779.86/13,492.68 = 6,424.49/x
  3. Step 3: Cross multiply
    9,779.86x = 13,492.68 × 6,424.49
  4. Step 4: Simplify right side
    9,779.86x = 86,683,587.73
  5. Step 5: Solve for x
    x = 86,683,587.73/9,779.86
  6. Step 6: Final answer
    x = 8,863.48

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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.