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Finding the Fourth Proportional to 30,453.76, 45,680.64 and 9,677.26

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Solution

The fourth proportional to 30,453.76, 45,680.64 and 9,677.26 is: 14,515.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,453.76 : 45,680.64 = 9,677.26 : x
  2. Step 2: Convert to fraction form
    30,453.76/45,680.64 = 9,677.26/x
  3. Step 3: Cross multiply
    30,453.76x = 45,680.64 × 9,677.26
  4. Step 4: Simplify right side
    30,453.76x = 442,063,430.25
  5. Step 5: Solve for x
    x = 442,063,430.25/30,453.76
  6. Step 6: Final answer
    x = 14,515.89

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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.