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Finding the Fourth Proportional to 1,312.70, 1,993.36 and 1,312.70

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Solution

The fourth proportional to 1,312.70, 1,993.36 and 1,312.70 is: 1,993.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.70 : 1,993.36 = 1,312.70 : x
  2. Step 2: Convert to fraction form
    1,312.70/1,993.36 = 1,312.70/x
  3. Step 3: Cross multiply
    1,312.70x = 1,993.36 × 1,312.70
  4. Step 4: Simplify right side
    1,312.70x = 2,616,683.67
  5. Step 5: Solve for x
    x = 2,616,683.67/1,312.70
  6. Step 6: Final answer
    x = 1,993.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.