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Finding the Fourth Proportional to 34,853.76, 48,078.72 and 21,415.68

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Solution

The fourth proportional to 34,853.76, 48,078.72 and 21,415.68 is: 29,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,853.76 : 48,078.72 = 21,415.68 : x
  2. Step 2: Convert to fraction form
    34,853.76/48,078.72 = 21,415.68/x
  3. Step 3: Cross multiply
    34,853.76x = 48,078.72 × 21,415.68
  4. Step 4: Simplify right side
    34,853.76x = 1,029,638,482.33
  5. Step 5: Solve for x
    x = 1,029,638,482.33/34,853.76
  6. Step 6: Final answer
    x = 29,541.68

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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.