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Finding the Fourth Proportional to 15,683.76, 21,652.92 and 9,398.16

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Solution

The fourth proportional to 15,683.76, 21,652.92 and 9,398.16 is: 12,975.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,683.76 : 21,652.92 = 9,398.16 : x
  2. Step 2: Convert to fraction form
    15,683.76/21,652.92 = 9,398.16/x
  3. Step 3: Cross multiply
    15,683.76x = 21,652.92 × 9,398.16
  4. Step 4: Simplify right side
    15,683.76x = 203,497,606.63
  5. Step 5: Solve for x
    x = 203,497,606.63/15,683.76
  6. Step 6: Final answer
    x = 12,975.05

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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.