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Finding the Fourth Proportional to 12,719, 17,552.40 and 7,130

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Solution

The fourth proportional to 12,719, 17,552.40 and 7,130 is: 9,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,719 : 17,552.40 = 7,130 : x
  2. Step 2: Convert to fraction form
    12,719/17,552.40 = 7,130/x
  3. Step 3: Cross multiply
    12,719x = 17,552.40 × 7,130
  4. Step 4: Simplify right side
    12,719x = 125,148,612.00
  5. Step 5: Solve for x
    x = 125,148,612.00/12,719
  6. Step 6: Final answer
    x = 9,839.50

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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.