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Finding the Fourth Proportional to 9,284.49, 12,812.58 and 5,509.49

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Solution

The fourth proportional to 9,284.49, 12,812.58 and 5,509.49 is: 7,603.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.49 : 12,812.58 = 5,509.49 : x
  2. Step 2: Convert to fraction form
    9,284.49/12,812.58 = 5,509.49/x
  3. Step 3: Cross multiply
    9,284.49x = 12,812.58 × 5,509.49
  4. Step 4: Simplify right side
    9,284.49x = 70,590,717.32
  5. Step 5: Solve for x
    x = 70,590,717.32/9,284.49
  6. Step 6: Final answer
    x = 7,603.08

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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.