Home / 1,440.40-1,986.70-942.24

Finding the Fourth Proportional to 1,440.40, 1,986.70 and 942.24

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Solution

The fourth proportional to 1,440.40, 1,986.70 and 942.24 is: 1,299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.40 : 1,986.70 = 942.24 : x
  2. Step 2: Convert to fraction form
    1,440.40/1,986.70 = 942.24/x
  3. Step 3: Cross multiply
    1,440.40x = 1,986.70 × 942.24
  4. Step 4: Simplify right side
    1,440.40x = 1,871,948.21
  5. Step 5: Solve for x
    x = 1,871,948.21/1,440.40
  6. Step 6: Final answer
    x = 1,299.60

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1.5x scale

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.