Home / 1,427.02-1,970.12-1,095.32

Finding the Fourth Proportional to 1,427.02, 1,970.12 and 1,095.32

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Solution

The fourth proportional to 1,427.02, 1,970.12 and 1,095.32 is: 1,512.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.02 : 1,970.12 = 1,095.32 : x
  2. Step 2: Convert to fraction form
    1,427.02/1,970.12 = 1,095.32/x
  3. Step 3: Cross multiply
    1,427.02x = 1,970.12 × 1,095.32
  4. Step 4: Simplify right side
    1,427.02x = 2,157,919.50
  5. Step 5: Solve for x
    x = 2,157,919.50/1,427.02
  6. Step 6: Final answer
    x = 1,512.19

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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.