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Finding the Fourth Proportional to 12,683.17, 17,502.93 and 7,905.04

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Solution

The fourth proportional to 12,683.17, 17,502.93 and 7,905.04 is: 10,909.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.17 : 17,502.93 = 7,905.04 : x
  2. Step 2: Convert to fraction form
    12,683.17/17,502.93 = 7,905.04/x
  3. Step 3: Cross multiply
    12,683.17x = 17,502.93 × 7,905.04
  4. Step 4: Simplify right side
    12,683.17x = 138,361,361.77
  5. Step 5: Solve for x
    x = 138,361,361.77/12,683.17
  6. Step 6: Final answer
    x = 10,909.05

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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.