Home / 1,158.40-1,739.70-1,106.50

Finding the Fourth Proportional to 1,158.40, 1,739.70 and 1,106.50

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Solution

The fourth proportional to 1,158.40, 1,739.70 and 1,106.50 is: 1,661.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.40 : 1,739.70 = 1,106.50 : x
  2. Step 2: Convert to fraction form
    1,158.40/1,739.70 = 1,106.50/x
  3. Step 3: Cross multiply
    1,158.40x = 1,739.70 × 1,106.50
  4. Step 4: Simplify right side
    1,158.40x = 1,924,978.05
  5. Step 5: Solve for x
    x = 1,924,978.05/1,158.40
  6. Step 6: Final answer
    x = 1,661.76

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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.