Home / 1,509.60-2,081.29-977.54

Finding the Fourth Proportional to 1,509.60, 2,081.29 and 977.54

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Solution

The fourth proportional to 1,509.60, 2,081.29 and 977.54 is: 1,347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.60 : 2,081.29 = 977.54 : x
  2. Step 2: Convert to fraction form
    1,509.60/2,081.29 = 977.54/x
  3. Step 3: Cross multiply
    1,509.60x = 2,081.29 × 977.54
  4. Step 4: Simplify right side
    1,509.60x = 2,034,544.23
  5. Step 5: Solve for x
    x = 2,034,544.23/1,509.60
  6. Step 6: Final answer
    x = 1,347.74

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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.