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Finding the Fourth Proportional to 2,885.32, 3,981.74 and 1,824.98

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Solution

The fourth proportional to 2,885.32, 3,981.74 and 1,824.98 is: 2,518.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.32 : 3,981.74 = 1,824.98 : x
  2. Step 2: Convert to fraction form
    2,885.32/3,981.74 = 1,824.98/x
  3. Step 3: Cross multiply
    2,885.32x = 3,981.74 × 1,824.98
  4. Step 4: Simplify right side
    2,885.32x = 7,266,580.52
  5. Step 5: Solve for x
    x = 7,266,580.52/2,885.32
  6. Step 6: Final answer
    x = 2,518.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.