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Finding the Fourth Proportional to 4,927.84, 7,394.64 and 2,980.24

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Solution

The fourth proportional to 4,927.84, 7,394.64 and 2,980.24 is: 4,472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.84 : 7,394.64 = 2,980.24 : x
  2. Step 2: Convert to fraction form
    4,927.84/7,394.64 = 2,980.24/x
  3. Step 3: Cross multiply
    4,927.84x = 7,394.64 × 2,980.24
  4. Step 4: Simplify right side
    4,927.84x = 22,037,801.91
  5. Step 5: Solve for x
    x = 22,037,801.91/4,927.84
  6. Step 6: Final answer
    x = 4,472.10

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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.