Home / 1,577.16-2,176.50-869.10

Finding the Fourth Proportional to 1,577.16, 2,176.50 and 869.10

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Solution

The fourth proportional to 1,577.16, 2,176.50 and 869.10 is: 1,199.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.16 : 2,176.50 = 869.10 : x
  2. Step 2: Convert to fraction form
    1,577.16/2,176.50 = 869.10/x
  3. Step 3: Cross multiply
    1,577.16x = 2,176.50 × 869.10
  4. Step 4: Simplify right side
    1,577.16x = 1,891,596.15
  5. Step 5: Solve for x
    x = 1,891,596.15/1,577.16
  6. Step 6: Final answer
    x = 1,199.37

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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.