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Finding the Fourth Proportional to 15,688, 23,536.86 and 6,454

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Solution

The fourth proportional to 15,688, 23,536.86 and 6,454 is: 9,683.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,688 : 23,536.86 = 6,454 : x
  2. Step 2: Convert to fraction form
    15,688/23,536.86 = 6,454/x
  3. Step 3: Cross multiply
    15,688x = 23,536.86 × 6,454
  4. Step 4: Simplify right side
    15,688x = 151,906,894.44
  5. Step 5: Solve for x
    x = 151,906,894.44/15,688
  6. Step 6: Final answer
    x = 9,683.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.