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Finding the Fourth Proportional to 38,172, 57,259.08 and 10,470

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Solution

The fourth proportional to 38,172, 57,259.08 and 10,470 is: 15,705.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,172 : 57,259.08 = 10,470 : x
  2. Step 2: Convert to fraction form
    38,172/57,259.08 = 10,470/x
  3. Step 3: Cross multiply
    38,172x = 57,259.08 × 10,470
  4. Step 4: Simplify right side
    38,172x = 599,502,567.60
  5. Step 5: Solve for x
    x = 599,502,567.60/38,172
  6. Step 6: Final answer
    x = 15,705.30

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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.