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Finding the Fourth Proportional to 10,415.70, 14,389.29 and 6,839.10

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Solution

The fourth proportional to 10,415.70, 14,389.29 and 6,839.10 is: 9,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.70 : 14,389.29 = 6,839.10 : x
  2. Step 2: Convert to fraction form
    10,415.70/14,389.29 = 6,839.10/x
  3. Step 3: Cross multiply
    10,415.70x = 14,389.29 × 6,839.10
  4. Step 4: Simplify right side
    10,415.70x = 98,409,793.24
  5. Step 5: Solve for x
    x = 98,409,793.24/10,415.70
  6. Step 6: Final answer
    x = 9,448.22

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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.