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Finding the Fourth Proportional to 5,302.84, 7,318.08 and 2,945.20

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Solution

The fourth proportional to 5,302.84, 7,318.08 and 2,945.20 is: 4,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.84 : 7,318.08 = 2,945.20 : x
  2. Step 2: Convert to fraction form
    5,302.84/7,318.08 = 2,945.20/x
  3. Step 3: Cross multiply
    5,302.84x = 7,318.08 × 2,945.20
  4. Step 4: Simplify right side
    5,302.84x = 21,553,209.22
  5. Step 5: Solve for x
    x = 21,553,209.22/5,302.84
  6. Step 6: Final answer
    x = 4,064.47

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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.