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Finding the Fourth Proportional to 30,480, 42,068.16 and 17,232

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Solution

The fourth proportional to 30,480, 42,068.16 and 17,232 is: 23,783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,480 : 42,068.16 = 17,232 : x
  2. Step 2: Convert to fraction form
    30,480/42,068.16 = 17,232/x
  3. Step 3: Cross multiply
    30,480x = 42,068.16 × 17,232
  4. Step 4: Simplify right side
    30,480x = 724,918,533.12
  5. Step 5: Solve for x
    x = 724,918,533.12/30,480
  6. Step 6: Final answer
    x = 23,783.42

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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.