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Finding the Fourth Proportional to 11,260, 16,807.55 and 9,929.95

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Solution

The fourth proportional to 11,260, 16,807.55 and 9,929.95 is: 14,822.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,260 : 16,807.55 = 9,929.95 : x
  2. Step 2: Convert to fraction form
    11,260/16,807.55 = 9,929.95/x
  3. Step 3: Cross multiply
    11,260x = 16,807.55 × 9,929.95
  4. Step 4: Simplify right side
    11,260x = 166,898,131.12
  5. Step 5: Solve for x
    x = 166,898,131.12/11,260
  6. Step 6: Final answer
    x = 14,822.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.