Home / 1,509.22-2,080.78-977.16

Finding the Fourth Proportional to 1,509.22, 2,080.78 and 977.16

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Solution

The fourth proportional to 1,509.22, 2,080.78 and 977.16 is: 1,347.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.22 : 2,080.78 = 977.16 : x
  2. Step 2: Convert to fraction form
    1,509.22/2,080.78 = 977.16/x
  3. Step 3: Cross multiply
    1,509.22x = 2,080.78 × 977.16
  4. Step 4: Simplify right side
    1,509.22x = 2,033,248.64
  5. Step 5: Solve for x
    x = 2,033,248.64/1,509.22
  6. Step 6: Final answer
    x = 1,347.22

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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.