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Finding the Fourth Proportional to 9,129.40, 13,688.70 and 4,755.40

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Solution

The fourth proportional to 9,129.40, 13,688.70 and 4,755.40 is: 7,130.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.40 : 13,688.70 = 4,755.40 : x
  2. Step 2: Convert to fraction form
    9,129.40/13,688.70 = 4,755.40/x
  3. Step 3: Cross multiply
    9,129.40x = 13,688.70 × 4,755.40
  4. Step 4: Simplify right side
    9,129.40x = 65,095,243.98
  5. Step 5: Solve for x
    x = 65,095,243.98/9,129.40
  6. Step 6: Final answer
    x = 7,130.29

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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.