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Finding the Fourth Proportional to 5,915.34, 8,103.98 and 5,693.76

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Solution

The fourth proportional to 5,915.34, 8,103.98 and 5,693.76 is: 7,800.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,915.34 : 8,103.98 = 5,693.76 : x
  2. Step 2: Convert to fraction form
    5,915.34/8,103.98 = 5,693.76/x
  3. Step 3: Cross multiply
    5,915.34x = 8,103.98 × 5,693.76
  4. Step 4: Simplify right side
    5,915.34x = 46,142,088.70
  5. Step 5: Solve for x
    x = 46,142,088.70/5,915.34
  6. Step 6: Final answer
    x = 7,800.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.