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Finding the Fourth Proportional to 2,829.15, 4,242.91 and 954.84

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Solution

The fourth proportional to 2,829.15, 4,242.91 and 954.84 is: 1,431.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.15 : 4,242.91 = 954.84 : x
  2. Step 2: Convert to fraction form
    2,829.15/4,242.91 = 954.84/x
  3. Step 3: Cross multiply
    2,829.15x = 4,242.91 × 954.84
  4. Step 4: Simplify right side
    2,829.15x = 4,051,300.18
  5. Step 5: Solve for x
    x = 4,051,300.18/2,829.15
  6. Step 6: Final answer
    x = 1,431.98

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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.