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Finding the Fourth Proportional to 14,113, 21,174.24 and 9,900.64

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Solution

The fourth proportional to 14,113, 21,174.24 and 9,900.64 is: 14,854.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113 : 21,174.24 = 9,900.64 : x
  2. Step 2: Convert to fraction form
    14,113/21,174.24 = 9,900.64/x
  3. Step 3: Cross multiply
    14,113x = 21,174.24 × 9,900.64
  4. Step 4: Simplify right side
    14,113x = 209,638,527.51
  5. Step 5: Solve for x
    x = 209,638,527.51/14,113
  6. Step 6: Final answer
    x = 14,854.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.