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Finding the Fourth Proportional to 12,570.40, 17,346.48 and 7,534.82

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Solution

The fourth proportional to 12,570.40, 17,346.48 and 7,534.82 is: 10,397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570.40 : 17,346.48 = 7,534.82 : x
  2. Step 2: Convert to fraction form
    12,570.40/17,346.48 = 7,534.82/x
  3. Step 3: Cross multiply
    12,570.40x = 17,346.48 × 7,534.82
  4. Step 4: Simplify right side
    12,570.40x = 130,702,604.43
  5. Step 5: Solve for x
    x = 130,702,604.43/12,570.40
  6. Step 6: Final answer
    x = 10,397.65

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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.