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Finding the Fourth Proportional to 21,457.29, 32,179.79 and 7,413.64

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Solution

The fourth proportional to 21,457.29, 32,179.79 and 7,413.64 is: 11,118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,457.29 : 32,179.79 = 7,413.64 : x
  2. Step 2: Convert to fraction form
    21,457.29/32,179.79 = 7,413.64/x
  3. Step 3: Cross multiply
    21,457.29x = 32,179.79 × 7,413.64
  4. Step 4: Simplify right side
    21,457.29x = 238,569,341.27
  5. Step 5: Solve for x
    x = 238,569,341.27/21,457.29
  6. Step 6: Final answer
    x = 11,118.34

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1.5x scale

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.