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Finding the Fourth Proportional to 19,136.90, 26,413.20 and 10,642

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Solution

The fourth proportional to 19,136.90, 26,413.20 and 10,642 is: 14,688.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,136.90 : 26,413.20 = 10,642 : x
  2. Step 2: Convert to fraction form
    19,136.90/26,413.20 = 10,642/x
  3. Step 3: Cross multiply
    19,136.90x = 26,413.20 × 10,642
  4. Step 4: Simplify right side
    19,136.90x = 281,089,274.40
  5. Step 5: Solve for x
    x = 281,089,274.40/19,136.90
  6. Step 6: Final answer
    x = 14,688.34

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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.