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Finding the Fourth Proportional to 2,971.72, 4,457.48 and 891.76

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Solution

The fourth proportional to 2,971.72, 4,457.48 and 891.76 is: 1,337.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.72 : 4,457.48 = 891.76 : x
  2. Step 2: Convert to fraction form
    2,971.72/4,457.48 = 891.76/x
  3. Step 3: Cross multiply
    2,971.72x = 4,457.48 × 891.76
  4. Step 4: Simplify right side
    2,971.72x = 3,975,002.36
  5. Step 5: Solve for x
    x = 3,975,002.36/2,971.72
  6. Step 6: Final answer
    x = 1,337.61

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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.