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Finding the Fourth Proportional to 30,280, 45,421.67 and 11,561.56

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Solution

The fourth proportional to 30,280, 45,421.67 and 11,561.56 is: 17,342.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,280 : 45,421.67 = 11,561.56 : x
  2. Step 2: Convert to fraction form
    30,280/45,421.67 = 11,561.56/x
  3. Step 3: Cross multiply
    30,280x = 45,421.67 × 11,561.56
  4. Step 4: Simplify right side
    30,280x = 525,145,363.01
  5. Step 5: Solve for x
    x = 525,145,363.01/30,280
  6. Step 6: Final answer
    x = 17,342.98

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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.