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Finding the Fourth Proportional to 2,971.65, 4,457.46 and 891.65

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Solution

The fourth proportional to 2,971.65, 4,457.46 and 891.65 is: 1,337.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.65 : 4,457.46 = 891.65 : x
  2. Step 2: Convert to fraction form
    2,971.65/4,457.46 = 891.65/x
  3. Step 3: Cross multiply
    2,971.65x = 4,457.46 × 891.65
  4. Step 4: Simplify right side
    2,971.65x = 3,974,477.35
  5. Step 5: Solve for x
    x = 3,974,477.35/2,971.65
  6. Step 6: Final answer
    x = 1,337.47

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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.