Home / 3,051.34-4,577.21-971.36

Finding the Fourth Proportional to 3,051.34, 4,577.21 and 971.36

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Solution

The fourth proportional to 3,051.34, 4,577.21 and 971.36 is: 1,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.34 : 4,577.21 = 971.36 : x
  2. Step 2: Convert to fraction form
    3,051.34/4,577.21 = 971.36/x
  3. Step 3: Cross multiply
    3,051.34x = 4,577.21 × 971.36
  4. Step 4: Simplify right side
    3,051.34x = 4,446,111.77
  5. Step 5: Solve for x
    x = 4,446,111.77/3,051.34
  6. Step 6: Final answer
    x = 1,457.10

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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.