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Finding the Fourth Proportional to 38,872, 53,644.98 and 22,970.08

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Solution

The fourth proportional to 38,872, 53,644.98 and 22,970.08 is: 31,699.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,872 : 53,644.98 = 22,970.08 : x
  2. Step 2: Convert to fraction form
    38,872/53,644.98 = 22,970.08/x
  3. Step 3: Cross multiply
    38,872x = 53,644.98 × 22,970.08
  4. Step 4: Simplify right side
    38,872x = 1,232,229,482.20
  5. Step 5: Solve for x
    x = 1,232,229,482.20/38,872
  6. Step 6: Final answer
    x = 31,699.67

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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.