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Finding the Fourth Proportional to 2,898.72, 4,345.62 and 950.40

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Solution

The fourth proportional to 2,898.72, 4,345.62 and 950.40 is: 1,424.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.72 : 4,345.62 = 950.40 : x
  2. Step 2: Convert to fraction form
    2,898.72/4,345.62 = 950.40/x
  3. Step 3: Cross multiply
    2,898.72x = 4,345.62 × 950.40
  4. Step 4: Simplify right side
    2,898.72x = 4,130,077.25
  5. Step 5: Solve for x
    x = 4,130,077.25/2,898.72
  6. Step 6: Final answer
    x = 1,424.79

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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.