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Finding the Fourth Proportional to 30,480, 42,079.68 and 23,015.04

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Solution

The fourth proportional to 30,480, 42,079.68 and 23,015.04 is: 31,773.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,480 : 42,079.68 = 23,015.04 : x
  2. Step 2: Convert to fraction form
    30,480/42,079.68 = 23,015.04/x
  3. Step 3: Cross multiply
    30,480x = 42,079.68 × 23,015.04
  4. Step 4: Simplify right side
    30,480x = 968,465,518.39
  5. Step 5: Solve for x
    x = 968,465,518.39/30,480
  6. Step 6: Final answer
    x = 31,773.80

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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.