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Finding the Fourth Proportional to 35,211.30, 52,818.78 and 8,916.30

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Solution

The fourth proportional to 35,211.30, 52,818.78 and 8,916.30 is: 13,374.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,211.30 : 52,818.78 = 8,916.30 : x
  2. Step 2: Convert to fraction form
    35,211.30/52,818.78 = 8,916.30/x
  3. Step 3: Cross multiply
    35,211.30x = 52,818.78 × 8,916.30
  4. Step 4: Simplify right side
    35,211.30x = 470,948,088.11
  5. Step 5: Solve for x
    x = 470,948,088.11/35,211.30
  6. Step 6: Final answer
    x = 13,374.91

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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.