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Finding the Fourth Proportional to 5,291.48, 7,934.50 and 1,780.28

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Solution

The fourth proportional to 5,291.48, 7,934.50 and 1,780.28 is: 2,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.48 : 7,934.50 = 1,780.28 : x
  2. Step 2: Convert to fraction form
    5,291.48/7,934.50 = 1,780.28/x
  3. Step 3: Cross multiply
    5,291.48x = 7,934.50 × 1,780.28
  4. Step 4: Simplify right side
    5,291.48x = 14,125,631.66
  5. Step 5: Solve for x
    x = 14,125,631.66/5,291.48
  6. Step 6: Final answer
    x = 2,669.50

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1.5x scale

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.