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Finding the Fourth Proportional to 7,778, 10,737.47 and 5,389.78

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Solution

The fourth proportional to 7,778, 10,737.47 and 5,389.78 is: 7,440.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778 : 10,737.47 = 5,389.78 : x
  2. Step 2: Convert to fraction form
    7,778/10,737.47 = 5,389.78/x
  3. Step 3: Cross multiply
    7,778x = 10,737.47 × 5,389.78
  4. Step 4: Simplify right side
    7,778x = 57,872,601.06
  5. Step 5: Solve for x
    x = 57,872,601.06/7,778
  6. Step 6: Final answer
    x = 7,440.55

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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.