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Finding the Fourth Proportional to 34,100.40, 51,153.12 and 9,140.40

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Solution

The fourth proportional to 34,100.40, 51,153.12 and 9,140.40 is: 13,711.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,100.40 : 51,153.12 = 9,140.40 : x
  2. Step 2: Convert to fraction form
    34,100.40/51,153.12 = 9,140.40/x
  3. Step 3: Cross multiply
    34,100.40x = 51,153.12 × 9,140.40
  4. Step 4: Simplify right side
    34,100.40x = 467,559,978.05
  5. Step 5: Solve for x
    x = 467,559,978.05/34,100.40
  6. Step 6: Final answer
    x = 13,711.28

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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.