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Finding the Fourth Proportional to 5,689.68, 7,836 and 4,903.44

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Solution

The fourth proportional to 5,689.68, 7,836 and 4,903.44 is: 6,753.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.68 : 7,836 = 4,903.44 : x
  2. Step 2: Convert to fraction form
    5,689.68/7,836 = 4,903.44/x
  3. Step 3: Cross multiply
    5,689.68x = 7,836 × 4,903.44
  4. Step 4: Simplify right side
    5,689.68x = 38,423,355.84
  5. Step 5: Solve for x
    x = 38,423,355.84/5,689.68
  6. Step 6: Final answer
    x = 6,753.17

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1.5x scale

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.