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Finding the Fourth Proportional to 9,038.84, 12,467.32 and 7,691

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Solution

The fourth proportional to 9,038.84, 12,467.32 and 7,691 is: 10,608.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.84 : 12,467.32 = 7,691 : x
  2. Step 2: Convert to fraction form
    9,038.84/12,467.32 = 7,691/x
  3. Step 3: Cross multiply
    9,038.84x = 12,467.32 × 7,691
  4. Step 4: Simplify right side
    9,038.84x = 95,886,158.12
  5. Step 5: Solve for x
    x = 95,886,158.12/9,038.84
  6. Step 6: Final answer
    x = 10,608.24

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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.