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Finding the Fourth Proportional to 9,239.84, 13,859.76 and 7,164.08

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Solution

The fourth proportional to 9,239.84, 13,859.76 and 7,164.08 is: 10,746.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239.84 : 13,859.76 = 7,164.08 : x
  2. Step 2: Convert to fraction form
    9,239.84/13,859.76 = 7,164.08/x
  3. Step 3: Cross multiply
    9,239.84x = 13,859.76 × 7,164.08
  4. Step 4: Simplify right side
    9,239.84x = 99,292,429.42
  5. Step 5: Solve for x
    x = 99,292,429.42/9,239.84
  6. Step 6: Final answer
    x = 10,746.12

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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.