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Finding the Fourth Proportional to 40,004, 60,008.96 and 15,380

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Solution

The fourth proportional to 40,004, 60,008.96 and 15,380 is: 23,071.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,004 : 60,008.96 = 15,380 : x
  2. Step 2: Convert to fraction form
    40,004/60,008.96 = 15,380/x
  3. Step 3: Cross multiply
    40,004x = 60,008.96 × 15,380
  4. Step 4: Simplify right side
    40,004x = 922,937,804.80
  5. Step 5: Solve for x
    x = 922,937,804.80/40,004
  6. Step 6: Final answer
    x = 23,071.14

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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.