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Finding the Fourth Proportional to 7,713.40, 10,644.53 and 4,569.38

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Solution

The fourth proportional to 7,713.40, 10,644.53 and 4,569.38 is: 6,305.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.40 : 10,644.53 = 4,569.38 : x
  2. Step 2: Convert to fraction form
    7,713.40/10,644.53 = 4,569.38/x
  3. Step 3: Cross multiply
    7,713.40x = 10,644.53 × 4,569.38
  4. Step 4: Simplify right side
    7,713.40x = 48,638,902.49
  5. Step 5: Solve for x
    x = 48,638,902.49/7,713.40
  6. Step 6: Final answer
    x = 6,305.77

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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.