Home / 3,051.50-4,577.02-971.42

Finding the Fourth Proportional to 3,051.50, 4,577.02 and 971.42

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Solution

The fourth proportional to 3,051.50, 4,577.02 and 971.42 is: 1,457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.50 : 4,577.02 = 971.42 : x
  2. Step 2: Convert to fraction form
    3,051.50/4,577.02 = 971.42/x
  3. Step 3: Cross multiply
    3,051.50x = 4,577.02 × 971.42
  4. Step 4: Simplify right side
    3,051.50x = 4,446,208.77
  5. Step 5: Solve for x
    x = 4,446,208.77/3,051.50
  6. Step 6: Final answer
    x = 1,457.06

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1.5x scale

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.