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Finding the Fourth Proportional to 13,681.91, 18,882.01 and 7,714.14

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Solution

The fourth proportional to 13,681.91, 18,882.01 and 7,714.14 is: 10,646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681.91 : 18,882.01 = 7,714.14 : x
  2. Step 2: Convert to fraction form
    13,681.91/18,882.01 = 7,714.14/x
  3. Step 3: Cross multiply
    13,681.91x = 18,882.01 × 7,714.14
  4. Step 4: Simplify right side
    13,681.91x = 145,658,407.46
  5. Step 5: Solve for x
    x = 145,658,407.46/13,681.91
  6. Step 6: Final answer
    x = 10,646.06

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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.