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Finding the Fourth Proportional to 9,678.71, 14,518.01 and 6,391.01

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Solution

The fourth proportional to 9,678.71, 14,518.01 and 6,391.01 is: 9,586.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.71 : 14,518.01 = 6,391.01 : x
  2. Step 2: Convert to fraction form
    9,678.71/14,518.01 = 6,391.01/x
  3. Step 3: Cross multiply
    9,678.71x = 14,518.01 × 6,391.01
  4. Step 4: Simplify right side
    9,678.71x = 92,784,799.36
  5. Step 5: Solve for x
    x = 92,784,799.36/9,678.71
  6. Step 6: Final answer
    x = 9,586.49

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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.