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Finding the Fourth Proportional to 7,851.87, 10,828.35 and 5,929.74

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Solution

The fourth proportional to 7,851.87, 10,828.35 and 5,929.74 is: 8,177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.87 : 10,828.35 = 5,929.74 : x
  2. Step 2: Convert to fraction form
    7,851.87/10,828.35 = 5,929.74/x
  3. Step 3: Cross multiply
    7,851.87x = 10,828.35 × 5,929.74
  4. Step 4: Simplify right side
    7,851.87x = 64,209,300.13
  5. Step 5: Solve for x
    x = 64,209,300.13/7,851.87
  6. Step 6: Final answer
    x = 8,177.58

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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.