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Finding the Fourth Proportional to 12,609.90, 17,393.91 and 7,831.50

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Solution

The fourth proportional to 12,609.90, 17,393.91 and 7,831.50 is: 10,802.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,609.90 : 17,393.91 = 7,831.50 : x
  2. Step 2: Convert to fraction form
    12,609.90/17,393.91 = 7,831.50/x
  3. Step 3: Cross multiply
    12,609.90x = 17,393.91 × 7,831.50
  4. Step 4: Simplify right side
    12,609.90x = 136,220,406.17
  5. Step 5: Solve for x
    x = 136,220,406.17/12,609.90
  6. Step 6: Final answer
    x = 10,802.66

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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.