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Finding the Fourth Proportional to 12,732, 17,570.70 and 7,143

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Solution

The fourth proportional to 12,732, 17,570.70 and 7,143 is: 9,857.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732 : 17,570.70 = 7,143 : x
  2. Step 2: Convert to fraction form
    12,732/17,570.70 = 7,143/x
  3. Step 3: Cross multiply
    12,732x = 17,570.70 × 7,143
  4. Step 4: Simplify right side
    12,732x = 125,507,510.10
  5. Step 5: Solve for x
    x = 125,507,510.10/12,732
  6. Step 6: Final answer
    x = 9,857.64

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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.