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Finding the Fourth Proportional to 9,798.88, 14,678.46 and 7,827.88

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Solution

The fourth proportional to 9,798.88, 14,678.46 and 7,827.88 is: 11,725.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.88 : 14,678.46 = 7,827.88 : x
  2. Step 2: Convert to fraction form
    9,798.88/14,678.46 = 7,827.88/x
  3. Step 3: Cross multiply
    9,798.88x = 14,678.46 × 7,827.88
  4. Step 4: Simplify right side
    9,798.88x = 114,901,223.46
  5. Step 5: Solve for x
    x = 114,901,223.46/9,798.88
  6. Step 6: Final answer
    x = 11,725.95

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1.5x scale

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.