Home / 1,467.90-2,025.36-971.34

Finding the Fourth Proportional to 1,467.90, 2,025.36 and 971.34

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Solution

The fourth proportional to 1,467.90, 2,025.36 and 971.34 is: 1,340.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.90 : 2,025.36 = 971.34 : x
  2. Step 2: Convert to fraction form
    1,467.90/2,025.36 = 971.34/x
  3. Step 3: Cross multiply
    1,467.90x = 2,025.36 × 971.34
  4. Step 4: Simplify right side
    1,467.90x = 1,967,313.18
  5. Step 5: Solve for x
    x = 1,967,313.18/1,467.90
  6. Step 6: Final answer
    x = 1,340.22

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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.