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Finding the Fourth Proportional to 6,931.76, 9,569.40 and 4,838

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Solution

The fourth proportional to 6,931.76, 9,569.40 and 4,838 is: 6,678.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.76 : 9,569.40 = 4,838 : x
  2. Step 2: Convert to fraction form
    6,931.76/9,569.40 = 4,838/x
  3. Step 3: Cross multiply
    6,931.76x = 9,569.40 × 4,838
  4. Step 4: Simplify right side
    6,931.76x = 46,296,757.20
  5. Step 5: Solve for x
    x = 46,296,757.20/6,931.76
  6. Step 6: Final answer
    x = 6,678.93

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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.