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Finding the Fourth Proportional to 12,857.64, 17,742.98 and 7,553

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Solution

The fourth proportional to 12,857.64, 17,742.98 and 7,553 is: 10,422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.64 : 17,742.98 = 7,553 : x
  2. Step 2: Convert to fraction form
    12,857.64/17,742.98 = 7,553/x
  3. Step 3: Cross multiply
    12,857.64x = 17,742.98 × 7,553
  4. Step 4: Simplify right side
    12,857.64x = 134,012,727.94
  5. Step 5: Solve for x
    x = 134,012,727.94/12,857.64
  6. Step 6: Final answer
    x = 10,422.81

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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.