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Finding the Fourth Proportional to 28,421.88, 42,632.76 and 7,645.40

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Solution

The fourth proportional to 28,421.88, 42,632.76 and 7,645.40 is: 11,468.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,421.88 : 42,632.76 = 7,645.40 : x
  2. Step 2: Convert to fraction form
    28,421.88/42,632.76 = 7,645.40/x
  3. Step 3: Cross multiply
    28,421.88x = 42,632.76 × 7,645.40
  4. Step 4: Simplify right side
    28,421.88x = 325,944,503.30
  5. Step 5: Solve for x
    x = 325,944,503.30/28,421.88
  6. Step 6: Final answer
    x = 11,468.08

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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.