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Finding the Fourth Proportional to 4,894.48, 7,342.80 and 1,432

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Solution

The fourth proportional to 4,894.48, 7,342.80 and 1,432 is: 2,148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.48 : 7,342.80 = 1,432 : x
  2. Step 2: Convert to fraction form
    4,894.48/7,342.80 = 1,432/x
  3. Step 3: Cross multiply
    4,894.48x = 7,342.80 × 1,432
  4. Step 4: Simplify right side
    4,894.48x = 10,514,889.60
  5. Step 5: Solve for x
    x = 10,514,889.60/4,894.48
  6. Step 6: Final answer
    x = 2,148.32

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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.