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Finding the Fourth Proportional to 17,370, 23,970.60 and 9,412.16

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Solution

The fourth proportional to 17,370, 23,970.60 and 9,412.16 is: 12,988.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,370 : 23,970.60 = 9,412.16 : x
  2. Step 2: Convert to fraction form
    17,370/23,970.60 = 9,412.16/x
  3. Step 3: Cross multiply
    17,370x = 23,970.60 × 9,412.16
  4. Step 4: Simplify right side
    17,370x = 225,615,122.50
  5. Step 5: Solve for x
    x = 225,615,122.50/17,370
  6. Step 6: Final answer
    x = 12,988.78

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1.5x scale

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.