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Finding the Fourth Proportional to 28,462.69, 42,695.27 and 8,742.02

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Solution

The fourth proportional to 28,462.69, 42,695.27 and 8,742.02 is: 13,113.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,462.69 : 42,695.27 = 8,742.02 : x
  2. Step 2: Convert to fraction form
    28,462.69/42,695.27 = 8,742.02/x
  3. Step 3: Cross multiply
    28,462.69x = 42,695.27 × 8,742.02
  4. Step 4: Simplify right side
    28,462.69x = 373,242,904.25
  5. Step 5: Solve for x
    x = 373,242,904.25/28,462.69
  6. Step 6: Final answer
    x = 13,113.41

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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.