Home / 1,430.58-1,972.30-1,284.78

Finding the Fourth Proportional to 1,430.58, 1,972.30 and 1,284.78

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Solution

The fourth proportional to 1,430.58, 1,972.30 and 1,284.78 is: 1,771.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.58 : 1,972.30 = 1,284.78 : x
  2. Step 2: Convert to fraction form
    1,430.58/1,972.30 = 1,284.78/x
  3. Step 3: Cross multiply
    1,430.58x = 1,972.30 × 1,284.78
  4. Step 4: Simplify right side
    1,430.58x = 2,533,971.59
  5. Step 5: Solve for x
    x = 2,533,971.59/1,430.58
  6. Step 6: Final answer
    x = 1,771.29

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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.