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Finding the Fourth Proportional to 1,894.58, 2,615.04 and 1,335

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Solution

The fourth proportional to 1,894.58, 2,615.04 and 1,335 is: 1,842.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.58 : 2,615.04 = 1,335 : x
  2. Step 2: Convert to fraction form
    1,894.58/2,615.04 = 1,335/x
  3. Step 3: Cross multiply
    1,894.58x = 2,615.04 × 1,335
  4. Step 4: Simplify right side
    1,894.58x = 3,491,078.40
  5. Step 5: Solve for x
    x = 3,491,078.40/1,894.58
  6. Step 6: Final answer
    x = 1,842.67

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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.