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Finding the Fourth Proportional to 1,397.70, 2,085.60 and 1,389.60

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Solution

The fourth proportional to 1,397.70, 2,085.60 and 1,389.60 is: 2,073.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.70 : 2,085.60 = 1,389.60 : x
  2. Step 2: Convert to fraction form
    1,397.70/2,085.60 = 1,389.60/x
  3. Step 3: Cross multiply
    1,397.70x = 2,085.60 × 1,389.60
  4. Step 4: Simplify right side
    1,397.70x = 2,898,149.76
  5. Step 5: Solve for x
    x = 2,898,149.76/1,397.70
  6. Step 6: Final answer
    x = 2,073.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.