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Finding the Fourth Proportional to 9,146, 13,701.47 and 5,437

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Solution

The fourth proportional to 9,146, 13,701.47 and 5,437 is: 8,145.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146 : 13,701.47 = 5,437 : x
  2. Step 2: Convert to fraction form
    9,146/13,701.47 = 5,437/x
  3. Step 3: Cross multiply
    9,146x = 13,701.47 × 5,437
  4. Step 4: Simplify right side
    9,146x = 74,494,892.39
  5. Step 5: Solve for x
    x = 74,494,892.39/9,146
  6. Step 6: Final answer
    x = 8,145.08

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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.