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Finding the Fourth Proportional to 2,478.94, 3,421.04 and 1,416.88

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Solution

The fourth proportional to 2,478.94, 3,421.04 and 1,416.88 is: 1,955.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.94 : 3,421.04 = 1,416.88 : x
  2. Step 2: Convert to fraction form
    2,478.94/3,421.04 = 1,416.88/x
  3. Step 3: Cross multiply
    2,478.94x = 3,421.04 × 1,416.88
  4. Step 4: Simplify right side
    2,478.94x = 4,847,203.16
  5. Step 5: Solve for x
    x = 4,847,203.16/2,478.94
  6. Step 6: Final answer
    x = 1,955.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.