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Finding the Fourth Proportional to 35,408.34, 53,133.03 and 13,220.89

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Solution

The fourth proportional to 35,408.34, 53,133.03 and 13,220.89 is: 19,838.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,408.34 : 53,133.03 = 13,220.89 : x
  2. Step 2: Convert to fraction form
    35,408.34/53,133.03 = 13,220.89/x
  3. Step 3: Cross multiply
    35,408.34x = 53,133.03 × 13,220.89
  4. Step 4: Simplify right side
    35,408.34x = 702,465,812.16
  5. Step 5: Solve for x
    x = 702,465,812.16/35,408.34
  6. Step 6: Final answer
    x = 19,838.99

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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.