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Finding the Fourth Proportional to 5,272.84, 7,910.64 and 1,575.07

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Solution

The fourth proportional to 5,272.84, 7,910.64 and 1,575.07 is: 2,363.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.84 : 7,910.64 = 1,575.07 : x
  2. Step 2: Convert to fraction form
    5,272.84/7,910.64 = 1,575.07/x
  3. Step 3: Cross multiply
    5,272.84x = 7,910.64 × 1,575.07
  4. Step 4: Simplify right side
    5,272.84x = 12,459,811.74
  5. Step 5: Solve for x
    x = 12,459,811.74/5,272.84
  6. Step 6: Final answer
    x = 2,363.02

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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.