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Finding the Fourth Proportional to 10,356.04, 14,291 and 5,640.28

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Solution

The fourth proportional to 10,356.04, 14,291 and 5,640.28 is: 7,783.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.04 : 14,291 = 5,640.28 : x
  2. Step 2: Convert to fraction form
    10,356.04/14,291 = 5,640.28/x
  3. Step 3: Cross multiply
    10,356.04x = 14,291 × 5,640.28
  4. Step 4: Simplify right side
    10,356.04x = 80,605,241.48
  5. Step 5: Solve for x
    x = 80,605,241.48/10,356.04
  6. Step 6: Final answer
    x = 7,783.40

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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.