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Finding the Fourth Proportional to 43,020, 64,532.43 and 15,318

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Solution

The fourth proportional to 43,020, 64,532.43 and 15,318 is: 22,977.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,020 : 64,532.43 = 15,318 : x
  2. Step 2: Convert to fraction form
    43,020/64,532.43 = 15,318/x
  3. Step 3: Cross multiply
    43,020x = 64,532.43 × 15,318
  4. Step 4: Simplify right side
    43,020x = 988,507,762.74
  5. Step 5: Solve for x
    x = 988,507,762.74/43,020
  6. Step 6: Final answer
    x = 22,977.87

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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.