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Finding the Fourth Proportional to 13,645.55, 18,830.94 and 7,677.32

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Solution

The fourth proportional to 13,645.55, 18,830.94 and 7,677.32 is: 10,594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.55 : 18,830.94 = 7,677.32 : x
  2. Step 2: Convert to fraction form
    13,645.55/18,830.94 = 7,677.32/x
  3. Step 3: Cross multiply
    13,645.55x = 18,830.94 × 7,677.32
  4. Step 4: Simplify right side
    13,645.55x = 144,571,199.36
  5. Step 5: Solve for x
    x = 144,571,199.36/13,645.55
  6. Step 6: Final answer
    x = 10,594.75

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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.