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Finding the Fourth Proportional to 2,038.76, 3,058.16 and 499.76

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Solution

The fourth proportional to 2,038.76, 3,058.16 and 499.76 is: 749.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.76 : 3,058.16 = 499.76 : x
  2. Step 2: Convert to fraction form
    2,038.76/3,058.16 = 499.76/x
  3. Step 3: Cross multiply
    2,038.76x = 3,058.16 × 499.76
  4. Step 4: Simplify right side
    2,038.76x = 1,528,346.04
  5. Step 5: Solve for x
    x = 1,528,346.04/2,038.76
  6. Step 6: Final answer
    x = 749.64

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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.