Home / 1,962.40-2,942.08-1,038.08

Finding the Fourth Proportional to 1,962.40, 2,942.08 and 1,038.08

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Solution

The fourth proportional to 1,962.40, 2,942.08 and 1,038.08 is: 1,556.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.40 : 2,942.08 = 1,038.08 : x
  2. Step 2: Convert to fraction form
    1,962.40/2,942.08 = 1,038.08/x
  3. Step 3: Cross multiply
    1,962.40x = 2,942.08 × 1,038.08
  4. Step 4: Simplify right side
    1,962.40x = 3,054,114.41
  5. Step 5: Solve for x
    x = 3,054,114.41/1,962.40
  6. Step 6: Final answer
    x = 1,556.32

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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.