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Finding the Fourth Proportional to 14,676.78, 20,254 and 7,962.44

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Solution

The fourth proportional to 14,676.78, 20,254 and 7,962.44 is: 10,988.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,676.78 : 20,254 = 7,962.44 : x
  2. Step 2: Convert to fraction form
    14,676.78/20,254 = 7,962.44/x
  3. Step 3: Cross multiply
    14,676.78x = 20,254 × 7,962.44
  4. Step 4: Simplify right side
    14,676.78x = 161,271,259.76
  5. Step 5: Solve for x
    x = 161,271,259.76/14,676.78
  6. Step 6: Final answer
    x = 10,988.19

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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.