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Finding the Fourth Proportional to 1,420.02, 1,959.08 and 1,047.88

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Solution

The fourth proportional to 1,420.02, 1,959.08 and 1,047.88 is: 1,445.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.02 : 1,959.08 = 1,047.88 : x
  2. Step 2: Convert to fraction form
    1,420.02/1,959.08 = 1,047.88/x
  3. Step 3: Cross multiply
    1,420.02x = 1,959.08 × 1,047.88
  4. Step 4: Simplify right side
    1,420.02x = 2,052,880.75
  5. Step 5: Solve for x
    x = 2,052,880.75/1,420.02
  6. Step 6: Final answer
    x = 1,445.67

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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.