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Finding the Fourth Proportional to 2,847.29, 4,271.54 and 899.51

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Solution

The fourth proportional to 2,847.29, 4,271.54 and 899.51 is: 1,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.29 : 4,271.54 = 899.51 : x
  2. Step 2: Convert to fraction form
    2,847.29/4,271.54 = 899.51/x
  3. Step 3: Cross multiply
    2,847.29x = 4,271.54 × 899.51
  4. Step 4: Simplify right side
    2,847.29x = 3,842,267.09
  5. Step 5: Solve for x
    x = 3,842,267.09/2,847.29
  6. Step 6: Final answer
    x = 1,349.45

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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.