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Finding the Fourth Proportional to 6,931.81, 9,565.95 and 3,788

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Solution

The fourth proportional to 6,931.81, 9,565.95 and 3,788 is: 5,227.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.81 : 9,565.95 = 3,788 : x
  2. Step 2: Convert to fraction form
    6,931.81/9,565.95 = 3,788/x
  3. Step 3: Cross multiply
    6,931.81x = 9,565.95 × 3,788
  4. Step 4: Simplify right side
    6,931.81x = 36,235,818.60
  5. Step 5: Solve for x
    x = 36,235,818.60/6,931.81
  6. Step 6: Final answer
    x = 5,227.47

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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.