Home / 1,307.63-1,964.18-1,102.60

Finding the Fourth Proportional to 1,307.63, 1,964.18 and 1,102.60

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Solution

The fourth proportional to 1,307.63, 1,964.18 and 1,102.60 is: 1,656.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.63 : 1,964.18 = 1,102.60 : x
  2. Step 2: Convert to fraction form
    1,307.63/1,964.18 = 1,102.60/x
  3. Step 3: Cross multiply
    1,307.63x = 1,964.18 × 1,102.60
  4. Step 4: Simplify right side
    1,307.63x = 2,165,704.87
  5. Step 5: Solve for x
    x = 2,165,704.87/1,307.63
  6. Step 6: Final answer
    x = 1,656.21

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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.