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Finding the Fourth Proportional to 7,849.60, 10,820.80 and 5,750.40

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Solution

The fourth proportional to 7,849.60, 10,820.80 and 5,750.40 is: 7,927.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.60 : 10,820.80 = 5,750.40 : x
  2. Step 2: Convert to fraction form
    7,849.60/10,820.80 = 5,750.40/x
  3. Step 3: Cross multiply
    7,849.60x = 10,820.80 × 5,750.40
  4. Step 4: Simplify right side
    7,849.60x = 62,223,928.32
  5. Step 5: Solve for x
    x = 62,223,928.32/7,849.60
  6. Step 6: Final answer
    x = 7,927.02

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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.