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Finding the Fourth Proportional to 30,840, 46,274.08 and 15,036.32

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Solution

The fourth proportional to 30,840, 46,274.08 and 15,036.32 is: 22,561.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,840 : 46,274.08 = 15,036.32 : x
  2. Step 2: Convert to fraction form
    30,840/46,274.08 = 15,036.32/x
  3. Step 3: Cross multiply
    30,840x = 46,274.08 × 15,036.32
  4. Step 4: Simplify right side
    30,840x = 695,791,874.59
  5. Step 5: Solve for x
    x = 695,791,874.59/30,840
  6. Step 6: Final answer
    x = 22,561.34

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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.