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Finding the Fourth Proportional to 28,257, 42,393.06 and 9,789

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Solution

The fourth proportional to 28,257, 42,393.06 and 9,789 is: 14,686.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,257 : 42,393.06 = 9,789 : x
  2. Step 2: Convert to fraction form
    28,257/42,393.06 = 9,789/x
  3. Step 3: Cross multiply
    28,257x = 42,393.06 × 9,789
  4. Step 4: Simplify right side
    28,257x = 414,985,664.34
  5. Step 5: Solve for x
    x = 414,985,664.34/28,257
  6. Step 6: Final answer
    x = 14,686.12

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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.