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Finding the Fourth Proportional to 12,710.01, 17,540.46 and 7,330.45

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Solution

The fourth proportional to 12,710.01, 17,540.46 and 7,330.45 is: 10,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710.01 : 17,540.46 = 7,330.45 : x
  2. Step 2: Convert to fraction form
    12,710.01/17,540.46 = 7,330.45/x
  3. Step 3: Cross multiply
    12,710.01x = 17,540.46 × 7,330.45
  4. Step 4: Simplify right side
    12,710.01x = 128,579,421.16
  5. Step 5: Solve for x
    x = 128,579,421.16/12,710.01
  6. Step 6: Final answer
    x = 10,116.39

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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.