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Finding the Fourth Proportional to 1,256.10, 1,881 and 792.47

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Solution

The fourth proportional to 1,256.10, 1,881 and 792.47 is: 1,186.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.10 : 1,881 = 792.47 : x
  2. Step 2: Convert to fraction form
    1,256.10/1,881 = 792.47/x
  3. Step 3: Cross multiply
    1,256.10x = 1,881 × 792.47
  4. Step 4: Simplify right side
    1,256.10x = 1,490,636.07
  5. Step 5: Solve for x
    x = 1,490,636.07/1,256.10
  6. Step 6: Final answer
    x = 1,186.72

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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.