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Finding the Fourth Proportional to 4,689.48, 7,034.23 and 1,916.16

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Solution

The fourth proportional to 4,689.48, 7,034.23 and 1,916.16 is: 2,874.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.48 : 7,034.23 = 1,916.16 : x
  2. Step 2: Convert to fraction form
    4,689.48/7,034.23 = 1,916.16/x
  3. Step 3: Cross multiply
    4,689.48x = 7,034.23 × 1,916.16
  4. Step 4: Simplify right side
    4,689.48x = 13,478,683.48
  5. Step 5: Solve for x
    x = 13,478,683.48/4,689.48
  6. Step 6: Final answer
    x = 2,874.24

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Why These Related Problems?

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