Home / 1,931.02-2,896.26-776.50

Finding the Fourth Proportional to 1,931.02, 2,896.26 and 776.50

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Solution

The fourth proportional to 1,931.02, 2,896.26 and 776.50 is: 1,164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.02 : 2,896.26 = 776.50 : x
  2. Step 2: Convert to fraction form
    1,931.02/2,896.26 = 776.50/x
  3. Step 3: Cross multiply
    1,931.02x = 2,896.26 × 776.50
  4. Step 4: Simplify right side
    1,931.02x = 2,248,945.89
  5. Step 5: Solve for x
    x = 2,248,945.89/1,931.02
  6. Step 6: Final answer
    x = 1,164.64

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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.