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Finding the Fourth Proportional to 5,810.64, 8,716.32 and 1,915.08

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Solution

The fourth proportional to 5,810.64, 8,716.32 and 1,915.08 is: 2,872.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.64 : 8,716.32 = 1,915.08 : x
  2. Step 2: Convert to fraction form
    5,810.64/8,716.32 = 1,915.08/x
  3. Step 3: Cross multiply
    5,810.64x = 8,716.32 × 1,915.08
  4. Step 4: Simplify right side
    5,810.64x = 16,692,450.11
  5. Step 5: Solve for x
    x = 16,692,450.11/5,810.64
  6. Step 6: Final answer
    x = 2,872.74

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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.