Home / 1,689.38-2,331.36-971.67

Finding the Fourth Proportional to 1,689.38, 2,331.36 and 971.67

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Solution

The fourth proportional to 1,689.38, 2,331.36 and 971.67 is: 1,340.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.38 : 2,331.36 = 971.67 : x
  2. Step 2: Convert to fraction form
    1,689.38/2,331.36 = 971.67/x
  3. Step 3: Cross multiply
    1,689.38x = 2,331.36 × 971.67
  4. Step 4: Simplify right side
    1,689.38x = 2,265,312.57
  5. Step 5: Solve for x
    x = 2,265,312.57/1,689.38
  6. Step 6: Final answer
    x = 1,340.91

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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.