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Finding the Fourth Proportional to 9,645.48, 14,473.08 and 4,455

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Solution

The fourth proportional to 9,645.48, 14,473.08 and 4,455 is: 6,684.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.48 : 14,473.08 = 4,455 : x
  2. Step 2: Convert to fraction form
    9,645.48/14,473.08 = 4,455/x
  3. Step 3: Cross multiply
    9,645.48x = 14,473.08 × 4,455
  4. Step 4: Simplify right side
    9,645.48x = 64,477,571.40
  5. Step 5: Solve for x
    x = 64,477,571.40/9,645.48
  6. Step 6: Final answer
    x = 6,684.74

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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.