Home / 1,430.24-1,972.70-1,312.59

Finding the Fourth Proportional to 1,430.24, 1,972.70 and 1,312.59

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Solution

The fourth proportional to 1,430.24, 1,972.70 and 1,312.59 is: 1,810.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.24 : 1,972.70 = 1,312.59 : x
  2. Step 2: Convert to fraction form
    1,430.24/1,972.70 = 1,312.59/x
  3. Step 3: Cross multiply
    1,430.24x = 1,972.70 × 1,312.59
  4. Step 4: Simplify right side
    1,430.24x = 2,589,339.73
  5. Step 5: Solve for x
    x = 2,589,339.73/1,430.24
  6. Step 6: Final answer
    x = 1,810.43

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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.