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Finding the Fourth Proportional to 28,460.88, 42,712.32 and 13,678.32

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Solution

The fourth proportional to 28,460.88, 42,712.32 and 13,678.32 is: 20,527.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,460.88 : 42,712.32 = 13,678.32 : x
  2. Step 2: Convert to fraction form
    28,460.88/42,712.32 = 13,678.32/x
  3. Step 3: Cross multiply
    28,460.88x = 42,712.32 × 13,678.32
  4. Step 4: Simplify right side
    28,460.88x = 584,232,780.90
  5. Step 5: Solve for x
    x = 584,232,780.90/28,460.88
  6. Step 6: Final answer
    x = 20,527.57

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1.5x scale

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.