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Finding the Fourth Proportional to 30,640.99, 45,962.43 and 9,581.80

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Solution

The fourth proportional to 30,640.99, 45,962.43 and 9,581.80 is: 14,373.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,640.99 : 45,962.43 = 9,581.80 : x
  2. Step 2: Convert to fraction form
    30,640.99/45,962.43 = 9,581.80/x
  3. Step 3: Cross multiply
    30,640.99x = 45,962.43 × 9,581.80
  4. Step 4: Simplify right side
    30,640.99x = 440,402,811.77
  5. Step 5: Solve for x
    x = 440,402,811.77/30,640.99
  6. Step 6: Final answer
    x = 14,373.00

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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.