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Finding the Fourth Proportional to 28,465.83, 42,693.91 and 7,684.47

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Solution

The fourth proportional to 28,465.83, 42,693.91 and 7,684.47 is: 11,525.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,465.83 : 42,693.91 = 7,684.47 : x
  2. Step 2: Convert to fraction form
    28,465.83/42,693.91 = 7,684.47/x
  3. Step 3: Cross multiply
    28,465.83x = 42,693.91 × 7,684.47
  4. Step 4: Simplify right side
    28,465.83x = 328,080,032.16
  5. Step 5: Solve for x
    x = 328,080,032.16/28,465.83
  6. Step 6: Final answer
    x = 11,525.40

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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.