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Finding the Fourth Proportional to 9,900.16, 14,838.72 and 9,324.16

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Solution

The fourth proportional to 9,900.16, 14,838.72 and 9,324.16 is: 13,975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.16 : 14,838.72 = 9,324.16 : x
  2. Step 2: Convert to fraction form
    9,900.16/14,838.72 = 9,324.16/x
  3. Step 3: Cross multiply
    9,900.16x = 14,838.72 × 9,324.16
  4. Step 4: Simplify right side
    9,900.16x = 138,358,599.48
  5. Step 5: Solve for x
    x = 138,358,599.48/9,900.16
  6. Step 6: Final answer
    x = 13,975.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.