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Finding the Fourth Proportional to 10,356.57, 14,292.06 and 5,640.86

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Solution

The fourth proportional to 10,356.57, 14,292.06 and 5,640.86 is: 7,784.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.57 : 14,292.06 = 5,640.86 : x
  2. Step 2: Convert to fraction form
    10,356.57/14,292.06 = 5,640.86/x
  3. Step 3: Cross multiply
    10,356.57x = 14,292.06 × 5,640.86
  4. Step 4: Simplify right side
    10,356.57x = 80,619,438.11
  5. Step 5: Solve for x
    x = 80,619,438.11/10,356.57
  6. Step 6: Final answer
    x = 7,784.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.