Home / 1,635.42-2,257.36-972.67

Finding the Fourth Proportional to 1,635.42, 2,257.36 and 972.67

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Solution

The fourth proportional to 1,635.42, 2,257.36 and 972.67 is: 1,342.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.42 : 2,257.36 = 972.67 : x
  2. Step 2: Convert to fraction form
    1,635.42/2,257.36 = 972.67/x
  3. Step 3: Cross multiply
    1,635.42x = 2,257.36 × 972.67
  4. Step 4: Simplify right side
    1,635.42x = 2,195,666.35
  5. Step 5: Solve for x
    x = 2,195,666.35/1,635.42
  6. Step 6: Final answer
    x = 1,342.57

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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.