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Finding the Fourth Proportional to 1,764.76, 2,433 and 1,515

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Solution

The fourth proportional to 1,764.76, 2,433 and 1,515 is: 2,088.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.76 : 2,433 = 1,515 : x
  2. Step 2: Convert to fraction form
    1,764.76/2,433 = 1,515/x
  3. Step 3: Cross multiply
    1,764.76x = 2,433 × 1,515
  4. Step 4: Simplify right side
    1,764.76x = 3,685,995
  5. Step 5: Solve for x
    x = 3,685,995/1,764.76
  6. Step 6: Final answer
    x = 2,088.67

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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.