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Finding the Fourth Proportional to 2,986.92, 4,457.79 and 2,909.16

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Solution

The fourth proportional to 2,986.92, 4,457.79 and 2,909.16 is: 4,341.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.92 : 4,457.79 = 2,909.16 : x
  2. Step 2: Convert to fraction form
    2,986.92/4,457.79 = 2,909.16/x
  3. Step 3: Cross multiply
    2,986.92x = 4,457.79 × 2,909.16
  4. Step 4: Simplify right side
    2,986.92x = 12,968,424.36
  5. Step 5: Solve for x
    x = 12,968,424.36/2,986.92
  6. Step 6: Final answer
    x = 4,341.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.