Home / 1,540.06-2,124.51-972.64

Finding the Fourth Proportional to 1,540.06, 2,124.51 and 972.64

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Solution

The fourth proportional to 1,540.06, 2,124.51 and 972.64 is: 1,341.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.06 : 2,124.51 = 972.64 : x
  2. Step 2: Convert to fraction form
    1,540.06/2,124.51 = 972.64/x
  3. Step 3: Cross multiply
    1,540.06x = 2,124.51 × 972.64
  4. Step 4: Simplify right side
    1,540.06x = 2,066,387.89
  5. Step 5: Solve for x
    x = 2,066,387.89/1,540.06
  6. Step 6: Final answer
    x = 1,341.76

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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.