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Finding the Fourth Proportional to 1,325.51, 1,986.60 and 838.70

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Solution

The fourth proportional to 1,325.51, 1,986.60 and 838.70 is: 1,256.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.51 : 1,986.60 = 838.70 : x
  2. Step 2: Convert to fraction form
    1,325.51/1,986.60 = 838.70/x
  3. Step 3: Cross multiply
    1,325.51x = 1,986.60 × 838.70
  4. Step 4: Simplify right side
    1,325.51x = 1,666,151.49
  5. Step 5: Solve for x
    x = 1,666,151.49/1,325.51
  6. Step 6: Final answer
    x = 1,256.99

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1.5x scale

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.