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Finding the Fourth Proportional to 14,437.13, 19,939.64 and 9,713.21

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Solution

The fourth proportional to 14,437.13, 19,939.64 and 9,713.21 is: 13,415.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,437.13 : 19,939.64 = 9,713.21 : x
  2. Step 2: Convert to fraction form
    14,437.13/19,939.64 = 9,713.21/x
  3. Step 3: Cross multiply
    14,437.13x = 19,939.64 × 9,713.21
  4. Step 4: Simplify right side
    14,437.13x = 193,677,762.38
  5. Step 5: Solve for x
    x = 193,677,762.38/14,437.13
  6. Step 6: Final answer
    x = 13,415.26

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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.