Home / 1,038.32-1,433.57-972.20

Finding the Fourth Proportional to 1,038.32, 1,433.57 and 972.20

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Solution

The fourth proportional to 1,038.32, 1,433.57 and 972.20 is: 1,342.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.32 : 1,433.57 = 972.20 : x
  2. Step 2: Convert to fraction form
    1,038.32/1,433.57 = 972.20/x
  3. Step 3: Cross multiply
    1,038.32x = 1,433.57 × 972.20
  4. Step 4: Simplify right side
    1,038.32x = 1,393,704.73
  5. Step 5: Solve for x
    x = 1,393,704.73/1,038.32
  6. Step 6: Final answer
    x = 1,342.28

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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.