Home / 1,434.98-2,148.42-971.66

Finding the Fourth Proportional to 1,434.98, 2,148.42 and 971.66

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Solution

The fourth proportional to 1,434.98, 2,148.42 and 971.66 is: 1,454.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.98 : 2,148.42 = 971.66 : x
  2. Step 2: Convert to fraction form
    1,434.98/2,148.42 = 971.66/x
  3. Step 3: Cross multiply
    1,434.98x = 2,148.42 × 971.66
  4. Step 4: Simplify right side
    1,434.98x = 2,087,533.78
  5. Step 5: Solve for x
    x = 2,087,533.78/1,434.98
  6. Step 6: Final answer
    x = 1,454.75

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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.