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Finding the Fourth Proportional to 20,688, 28,547.28 and 11,732.64

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Solution

The fourth proportional to 20,688, 28,547.28 and 11,732.64 is: 16,189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,688 : 28,547.28 = 11,732.64 : x
  2. Step 2: Convert to fraction form
    20,688/28,547.28 = 11,732.64/x
  3. Step 3: Cross multiply
    20,688x = 28,547.28 × 11,732.64
  4. Step 4: Simplify right side
    20,688x = 334,934,959.22
  5. Step 5: Solve for x
    x = 334,934,959.22/20,688
  6. Step 6: Final answer
    x = 16,189.82

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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.