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Finding the Fourth Proportional to 1,523.99, 2,102.86 and 894.47

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Solution

The fourth proportional to 1,523.99, 2,102.86 and 894.47 is: 1,234.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.99 : 2,102.86 = 894.47 : x
  2. Step 2: Convert to fraction form
    1,523.99/2,102.86 = 894.47/x
  3. Step 3: Cross multiply
    1,523.99x = 2,102.86 × 894.47
  4. Step 4: Simplify right side
    1,523.99x = 1,880,941.70
  5. Step 5: Solve for x
    x = 1,880,941.70/1,523.99
  6. Step 6: Final answer
    x = 1,234.22

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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.