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Finding the Fourth Proportional to 10,157.70, 14,018.21 and 5,681.64

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Solution

The fourth proportional to 10,157.70, 14,018.21 and 5,681.64 is: 7,840.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.70 : 14,018.21 = 5,681.64 : x
  2. Step 2: Convert to fraction form
    10,157.70/14,018.21 = 5,681.64/x
  3. Step 3: Cross multiply
    10,157.70x = 14,018.21 × 5,681.64
  4. Step 4: Simplify right side
    10,157.70x = 79,646,500.09
  5. Step 5: Solve for x
    x = 79,646,500.09/10,157.70
  6. Step 6: Final answer
    x = 7,840.99

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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.