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Finding the Fourth Proportional to 30,438.64, 45,665.24 and 9,662.16

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Solution

The fourth proportional to 30,438.64, 45,665.24 and 9,662.16 is: 14,495.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,438.64 : 45,665.24 = 9,662.16 : x
  2. Step 2: Convert to fraction form
    30,438.64/45,665.24 = 9,662.16/x
  3. Step 3: Cross multiply
    30,438.64x = 45,665.24 × 9,662.16
  4. Step 4: Simplify right side
    30,438.64x = 441,224,855.32
  5. Step 5: Solve for x
    x = 441,224,855.32/30,438.64
  6. Step 6: Final answer
    x = 14,495.55

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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.