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Finding the Fourth Proportional to 7,854.90, 11,783.96 and 7,070.70

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Solution

The fourth proportional to 7,854.90, 11,783.96 and 7,070.70 is: 10,607.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.90 : 11,783.96 = 7,070.70 : x
  2. Step 2: Convert to fraction form
    7,854.90/11,783.96 = 7,070.70/x
  3. Step 3: Cross multiply
    7,854.90x = 11,783.96 × 7,070.70
  4. Step 4: Simplify right side
    7,854.90x = 83,320,845.97
  5. Step 5: Solve for x
    x = 83,320,845.97/7,854.90
  6. Step 6: Final answer
    x = 10,607.50

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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.