Home / 1,526.74-2,291.46-786.86

Finding the Fourth Proportional to 1,526.74, 2,291.46 and 786.86

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Solution

The fourth proportional to 1,526.74, 2,291.46 and 786.86 is: 1,180.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.74 : 2,291.46 = 786.86 : x
  2. Step 2: Convert to fraction form
    1,526.74/2,291.46 = 786.86/x
  3. Step 3: Cross multiply
    1,526.74x = 2,291.46 × 786.86
  4. Step 4: Simplify right side
    1,526.74x = 1,803,058.22
  5. Step 5: Solve for x
    x = 1,803,058.22/1,526.74
  6. Step 6: Final answer
    x = 1,180.99

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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.