Home / 1,538.40-2,307.60-890.40

Finding the Fourth Proportional to 1,538.40, 2,307.60 and 890.40

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Solution

The fourth proportional to 1,538.40, 2,307.60 and 890.40 is: 1,335.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.40 : 2,307.60 = 890.40 : x
  2. Step 2: Convert to fraction form
    1,538.40/2,307.60 = 890.40/x
  3. Step 3: Cross multiply
    1,538.40x = 2,307.60 × 890.40
  4. Step 4: Simplify right side
    1,538.40x = 2,054,687.04
  5. Step 5: Solve for x
    x = 2,054,687.04/1,538.40
  6. Step 6: Final answer
    x = 1,335.60

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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.