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Finding the Fourth Proportional to 8,681.42, 13,019.47 and 3,134.07

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Solution

The fourth proportional to 8,681.42, 13,019.47 and 3,134.07 is: 4,700.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.42 : 13,019.47 = 3,134.07 : x
  2. Step 2: Convert to fraction form
    8,681.42/13,019.47 = 3,134.07/x
  3. Step 3: Cross multiply
    8,681.42x = 13,019.47 × 3,134.07
  4. Step 4: Simplify right side
    8,681.42x = 40,803,922.51
  5. Step 5: Solve for x
    x = 40,803,922.51/8,681.42
  6. Step 6: Final answer
    x = 4,700.14

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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.