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Finding the Fourth Proportional to 5,271.84, 7,908.50 and 1,575.20

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Solution

The fourth proportional to 5,271.84, 7,908.50 and 1,575.20 is: 2,363.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.84 : 7,908.50 = 1,575.20 : x
  2. Step 2: Convert to fraction form
    5,271.84/7,908.50 = 1,575.20/x
  3. Step 3: Cross multiply
    5,271.84x = 7,908.50 × 1,575.20
  4. Step 4: Simplify right side
    5,271.84x = 12,457,492.91
  5. Step 5: Solve for x
    x = 12,457,492.91/5,271.84
  6. Step 6: Final answer
    x = 2,363.03

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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.