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Finding the Fourth Proportional to 9,866.49, 14,807.58 and 5,189.23

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Solution

The fourth proportional to 9,866.49, 14,807.58 and 5,189.23 is: 7,787.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.49 : 14,807.58 = 5,189.23 : x
  2. Step 2: Convert to fraction form
    9,866.49/14,807.58 = 5,189.23/x
  3. Step 3: Cross multiply
    9,866.49x = 14,807.58 × 5,189.23
  4. Step 4: Simplify right side
    9,866.49x = 76,839,938.36
  5. Step 5: Solve for x
    x = 76,839,938.36/9,866.49
  6. Step 6: Final answer
    x = 7,787.97

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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.