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Finding the Fourth Proportional to 2,038.72, 3,058.08 and 499.72

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Solution

The fourth proportional to 2,038.72, 3,058.08 and 499.72 is: 749.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.72 : 3,058.08 = 499.72 : x
  2. Step 2: Convert to fraction form
    2,038.72/3,058.08 = 499.72/x
  3. Step 3: Cross multiply
    2,038.72x = 3,058.08 × 499.72
  4. Step 4: Simplify right side
    2,038.72x = 1,528,183.74
  5. Step 5: Solve for x
    x = 1,528,183.74/2,038.72
  6. Step 6: Final answer
    x = 749.58

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Double scale
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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.