Home / 1,537.08-2,120.46-977.40

Finding the Fourth Proportional to 1,537.08, 2,120.46 and 977.40

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Solution

The fourth proportional to 1,537.08, 2,120.46 and 977.40 is: 1,348.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.08 : 2,120.46 = 977.40 : x
  2. Step 2: Convert to fraction form
    1,537.08/2,120.46 = 977.40/x
  3. Step 3: Cross multiply
    1,537.08x = 2,120.46 × 977.40
  4. Step 4: Simplify right side
    1,537.08x = 2,072,537.60
  5. Step 5: Solve for x
    x = 2,072,537.60/1,537.08
  6. Step 6: Final answer
    x = 1,348.36

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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.