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Finding the Fourth Proportional to 9,865, 13,614.90 and 5,617.10

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Solution

The fourth proportional to 9,865, 13,614.90 and 5,617.10 is: 7,752.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865 : 13,614.90 = 5,617.10 : x
  2. Step 2: Convert to fraction form
    9,865/13,614.90 = 5,617.10/x
  3. Step 3: Cross multiply
    9,865x = 13,614.90 × 5,617.10
  4. Step 4: Simplify right side
    9,865x = 76,476,254.79
  5. Step 5: Solve for x
    x = 76,476,254.79/9,865
  6. Step 6: Final answer
    x = 7,752.28

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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.