Home / 1,921.40-2,880.76-947.28

Finding the Fourth Proportional to 1,921.40, 2,880.76 and 947.28

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Solution

The fourth proportional to 1,921.40, 2,880.76 and 947.28 is: 1,420.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.40 : 2,880.76 = 947.28 : x
  2. Step 2: Convert to fraction form
    1,921.40/2,880.76 = 947.28/x
  3. Step 3: Cross multiply
    1,921.40x = 2,880.76 × 947.28
  4. Step 4: Simplify right side
    1,921.40x = 2,728,886.33
  5. Step 5: Solve for x
    x = 2,728,886.33/1,921.40
  6. Step 6: Final answer
    x = 1,420.26

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1.5x scale

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.