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Finding the Fourth Proportional to 9,663.64, 14,365.16 and 9,379.84

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Solution

The fourth proportional to 9,663.64, 14,365.16 and 9,379.84 is: 13,943.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.64 : 14,365.16 = 9,379.84 : x
  2. Step 2: Convert to fraction form
    9,663.64/14,365.16 = 9,379.84/x
  3. Step 3: Cross multiply
    9,663.64x = 14,365.16 × 9,379.84
  4. Step 4: Simplify right side
    9,663.64x = 134,742,902.37
  5. Step 5: Solve for x
    x = 134,742,902.37/9,663.64
  6. Step 6: Final answer
    x = 13,943.29

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1.5x scale

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.