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Finding the Fourth Proportional to 9,727.84, 13,423 and 5,478.32

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Solution

The fourth proportional to 9,727.84, 13,423 and 5,478.32 is: 7,559.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727.84 : 13,423 = 5,478.32 : x
  2. Step 2: Convert to fraction form
    9,727.84/13,423 = 5,478.32/x
  3. Step 3: Cross multiply
    9,727.84x = 13,423 × 5,478.32
  4. Step 4: Simplify right side
    9,727.84x = 73,535,489.36
  5. Step 5: Solve for x
    x = 73,535,489.36/9,727.84
  6. Step 6: Final answer
    x = 7,559.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.