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Finding the Fourth Proportional to 10,457.16, 15,689.85 and 4,609.68

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Solution

The fourth proportional to 10,457.16, 15,689.85 and 4,609.68 is: 6,916.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.16 : 15,689.85 = 4,609.68 : x
  2. Step 2: Convert to fraction form
    10,457.16/15,689.85 = 4,609.68/x
  3. Step 3: Cross multiply
    10,457.16x = 15,689.85 × 4,609.68
  4. Step 4: Simplify right side
    10,457.16x = 72,325,187.75
  5. Step 5: Solve for x
    x = 72,325,187.75/10,457.16
  6. Step 6: Final answer
    x = 6,916.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.