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Finding the Fourth Proportional to 7,865.78, 10,854.70 and 4,328.92

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Solution

The fourth proportional to 7,865.78, 10,854.70 and 4,328.92 is: 5,973.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.78 : 10,854.70 = 4,328.92 : x
  2. Step 2: Convert to fraction form
    7,865.78/10,854.70 = 4,328.92/x
  3. Step 3: Cross multiply
    7,865.78x = 10,854.70 × 4,328.92
  4. Step 4: Simplify right side
    7,865.78x = 46,989,089.96
  5. Step 5: Solve for x
    x = 46,989,089.96/7,865.78
  6. Step 6: Final answer
    x = 5,973.86

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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.