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Finding the Fourth Proportional to 28,271.16, 42,406.76 and 16,578

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Solution

The fourth proportional to 28,271.16, 42,406.76 and 16,578 is: 24,867.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,271.16 : 42,406.76 = 16,578 : x
  2. Step 2: Convert to fraction form
    28,271.16/42,406.76 = 16,578/x
  3. Step 3: Cross multiply
    28,271.16x = 42,406.76 × 16,578
  4. Step 4: Simplify right side
    28,271.16x = 703,019,267.28
  5. Step 5: Solve for x
    x = 703,019,267.28/28,271.16
  6. Step 6: Final answer
    x = 24,867.01

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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.