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Finding the Fourth Proportional to 13,159, 18,159.42 and 7,570

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Solution

The fourth proportional to 13,159, 18,159.42 and 7,570 is: 10,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,159 : 18,159.42 = 7,570 : x
  2. Step 2: Convert to fraction form
    13,159/18,159.42 = 7,570/x
  3. Step 3: Cross multiply
    13,159x = 18,159.42 × 7,570
  4. Step 4: Simplify right side
    13,159x = 137,466,809.40
  5. Step 5: Solve for x
    x = 137,466,809.40/13,159
  6. Step 6: Final answer
    x = 10,446.60

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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.