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Finding the Fourth Proportional to 23,157.96, 31,957.96 and 12,547.58

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Solution

The fourth proportional to 23,157.96, 31,957.96 and 12,547.58 is: 17,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157.96 : 31,957.96 = 12,547.58 : x
  2. Step 2: Convert to fraction form
    23,157.96/31,957.96 = 12,547.58/x
  3. Step 3: Cross multiply
    23,157.96x = 31,957.96 × 12,547.58
  4. Step 4: Simplify right side
    23,157.96x = 400,995,059.74
  5. Step 5: Solve for x
    x = 400,995,059.74/23,157.96
  6. Step 6: Final answer
    x = 17,315.65

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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.