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Finding the Fourth Proportional to 9,402.96, 12,971.90 and 6,045.15

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Solution

The fourth proportional to 9,402.96, 12,971.90 and 6,045.15 is: 8,339.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.96 : 12,971.90 = 6,045.15 : x
  2. Step 2: Convert to fraction form
    9,402.96/12,971.90 = 6,045.15/x
  3. Step 3: Cross multiply
    9,402.96x = 12,971.90 × 6,045.15
  4. Step 4: Simplify right side
    9,402.96x = 78,417,081.29
  5. Step 5: Solve for x
    x = 78,417,081.29/9,402.96
  6. Step 6: Final answer
    x = 8,339.62

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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.