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Finding the Fourth Proportional to 28,431.90, 42,652.80 and 11,782.80

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Solution

The fourth proportional to 28,431.90, 42,652.80 and 11,782.80 is: 17,676.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,431.90 : 42,652.80 = 11,782.80 : x
  2. Step 2: Convert to fraction form
    28,431.90/42,652.80 = 11,782.80/x
  3. Step 3: Cross multiply
    28,431.90x = 42,652.80 × 11,782.80
  4. Step 4: Simplify right side
    28,431.90x = 502,569,411.84
  5. Step 5: Solve for x
    x = 502,569,411.84/28,431.90
  6. Step 6: Final answer
    x = 17,676.25

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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.