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Finding the Fourth Proportional to 9,405.72, 12,964.12 and 7,511.24

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Solution

The fourth proportional to 9,405.72, 12,964.12 and 7,511.24 is: 10,352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.72 : 12,964.12 = 7,511.24 : x
  2. Step 2: Convert to fraction form
    9,405.72/12,964.12 = 7,511.24/x
  3. Step 3: Cross multiply
    9,405.72x = 12,964.12 × 7,511.24
  4. Step 4: Simplify right side
    9,405.72x = 97,376,616.71
  5. Step 5: Solve for x
    x = 97,376,616.71/9,405.72
  6. Step 6: Final answer
    x = 10,352.91

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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.