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Finding the Fourth Proportional to 28,551, 42,829.20 and 9,830.28

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Solution

The fourth proportional to 28,551, 42,829.20 and 9,830.28 is: 14,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,551 : 42,829.20 = 9,830.28 : x
  2. Step 2: Convert to fraction form
    28,551/42,829.20 = 9,830.28/x
  3. Step 3: Cross multiply
    28,551x = 42,829.20 × 9,830.28
  4. Step 4: Simplify right side
    28,551x = 421,023,028.18
  5. Step 5: Solve for x
    x = 421,023,028.18/28,551
  6. Step 6: Final answer
    x = 14,746.35

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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.