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Finding the Fourth Proportional to 38,130, 57,203.64 and 13,506

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Solution

The fourth proportional to 38,130, 57,203.64 and 13,506 is: 20,262.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,130 : 57,203.64 = 13,506 : x
  2. Step 2: Convert to fraction form
    38,130/57,203.64 = 13,506/x
  3. Step 3: Cross multiply
    38,130x = 57,203.64 × 13,506
  4. Step 4: Simplify right side
    38,130x = 772,592,361.84
  5. Step 5: Solve for x
    x = 772,592,361.84/38,130
  6. Step 6: Final answer
    x = 20,262.06

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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.