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Finding the Fourth Proportional to 12,536.57, 17,300.10 and 6,871.20

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Solution

The fourth proportional to 12,536.57, 17,300.10 and 6,871.20 is: 9,482.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.57 : 17,300.10 = 6,871.20 : x
  2. Step 2: Convert to fraction form
    12,536.57/17,300.10 = 6,871.20/x
  3. Step 3: Cross multiply
    12,536.57x = 17,300.10 × 6,871.20
  4. Step 4: Simplify right side
    12,536.57x = 118,872,447.12
  5. Step 5: Solve for x
    x = 118,872,447.12/12,536.57
  6. Step 6: Final answer
    x = 9,482.05

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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.