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Finding the Fourth Proportional to 2,492.84, 3,754.10 and 2,172.08

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Solution

The fourth proportional to 2,492.84, 3,754.10 and 2,172.08 is: 3,271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.84 : 3,754.10 = 2,172.08 : x
  2. Step 2: Convert to fraction form
    2,492.84/3,754.10 = 2,172.08/x
  3. Step 3: Cross multiply
    2,492.84x = 3,754.10 × 2,172.08
  4. Step 4: Simplify right side
    2,492.84x = 8,154,205.53
  5. Step 5: Solve for x
    x = 8,154,205.53/2,492.84
  6. Step 6: Final answer
    x = 3,271.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.