Home / 1,266.12-1,747.40-971.28

Finding the Fourth Proportional to 1,266.12, 1,747.40 and 971.28

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Solution

The fourth proportional to 1,266.12, 1,747.40 and 971.28 is: 1,340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.12 : 1,747.40 = 971.28 : x
  2. Step 2: Convert to fraction form
    1,266.12/1,747.40 = 971.28/x
  3. Step 3: Cross multiply
    1,266.12x = 1,747.40 × 971.28
  4. Step 4: Simplify right side
    1,266.12x = 1,697,214.67
  5. Step 5: Solve for x
    x = 1,697,214.67/1,266.12
  6. Step 6: Final answer
    x = 1,340.48

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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.