Home / 1,577.40-2,176.82-869.32

Finding the Fourth Proportional to 1,577.40, 2,176.82 and 869.32

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Solution

The fourth proportional to 1,577.40, 2,176.82 and 869.32 is: 1,199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.40 : 2,176.82 = 869.32 : x
  2. Step 2: Convert to fraction form
    1,577.40/2,176.82 = 869.32/x
  3. Step 3: Cross multiply
    1,577.40x = 2,176.82 × 869.32
  4. Step 4: Simplify right side
    1,577.40x = 1,892,353.16
  5. Step 5: Solve for x
    x = 1,892,353.16/1,577.40
  6. Step 6: Final answer
    x = 1,199.67

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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.