Home / 10,427.64-15,642.31-3,032.09

Finding the Fourth Proportional to 10,427.64, 15,642.31 and 3,032.09

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Solution

The fourth proportional to 10,427.64, 15,642.31 and 3,032.09 is: 4,548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.64 : 15,642.31 = 3,032.09 : x
  2. Step 2: Convert to fraction form
    10,427.64/15,642.31 = 3,032.09/x
  3. Step 3: Cross multiply
    10,427.64x = 15,642.31 × 3,032.09
  4. Step 4: Simplify right side
    10,427.64x = 47,428,878.81
  5. Step 5: Solve for x
    x = 47,428,878.81/10,427.64
  6. Step 6: Final answer
    x = 4,548.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.