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Finding the Fourth Proportional to 51,820.52, 71,519.21 and 38,430

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Solution

The fourth proportional to 51,820.52, 71,519.21 and 38,430 is: 53,038.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,820.52 : 71,519.21 = 38,430 : x
  2. Step 2: Convert to fraction form
    51,820.52/71,519.21 = 38,430/x
  3. Step 3: Cross multiply
    51,820.52x = 71,519.21 × 38,430
  4. Step 4: Simplify right side
    51,820.52x = 2,748,483,048.15
  5. Step 5: Solve for x
    x = 2,748,483,048.15/51,820.52
  6. Step 6: Final answer
    x = 53,038.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.