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Finding the Fourth Proportional to 7,859.52, 11,783.03 and 5,386.77

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Solution

The fourth proportional to 7,859.52, 11,783.03 and 5,386.77 is: 8,075.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.52 : 11,783.03 = 5,386.77 : x
  2. Step 2: Convert to fraction form
    7,859.52/11,783.03 = 5,386.77/x
  3. Step 3: Cross multiply
    7,859.52x = 11,783.03 × 5,386.77
  4. Step 4: Simplify right side
    7,859.52x = 63,472,445.58
  5. Step 5: Solve for x
    x = 63,472,445.58/7,859.52
  6. Step 6: Final answer
    x = 8,075.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.