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Finding the Fourth Proportional to 10,484.88, 15,720.80 and 4,934.80

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Solution

The fourth proportional to 10,484.88, 15,720.80 and 4,934.80 is: 7,399.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.88 : 15,720.80 = 4,934.80 : x
  2. Step 2: Convert to fraction form
    10,484.88/15,720.80 = 4,934.80/x
  3. Step 3: Cross multiply
    10,484.88x = 15,720.80 × 4,934.80
  4. Step 4: Simplify right side
    10,484.88x = 77,579,003.84
  5. Step 5: Solve for x
    x = 77,579,003.84/10,484.88
  6. Step 6: Final answer
    x = 7,399.13

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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.