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Finding the Fourth Proportional to 2,077.56, 3,116.28 and 538.56

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Solution

The fourth proportional to 2,077.56, 3,116.28 and 538.56 is: 807.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.56 : 3,116.28 = 538.56 : x
  2. Step 2: Convert to fraction form
    2,077.56/3,116.28 = 538.56/x
  3. Step 3: Cross multiply
    2,077.56x = 3,116.28 × 538.56
  4. Step 4: Simplify right side
    2,077.56x = 1,678,303.76
  5. Step 5: Solve for x
    x = 1,678,303.76/2,077.56
  6. Step 6: Final answer
    x = 807.82

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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.