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Finding the Fourth Proportional to 10,674.16, 14,712.64 and 7,136.08

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Solution

The fourth proportional to 10,674.16, 14,712.64 and 7,136.08 is: 9,835.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.16 : 14,712.64 = 7,136.08 : x
  2. Step 2: Convert to fraction form
    10,674.16/14,712.64 = 7,136.08/x
  3. Step 3: Cross multiply
    10,674.16x = 14,712.64 × 7,136.08
  4. Step 4: Simplify right side
    10,674.16x = 104,990,576.05
  5. Step 5: Solve for x
    x = 104,990,576.05/10,674.16
  6. Step 6: Final answer
    x = 9,835.96

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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.