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Finding the Fourth Proportional to 7,854.04, 11,758.78 and 7,114.98

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Solution

The fourth proportional to 7,854.04, 11,758.78 and 7,114.98 is: 10,652.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.04 : 11,758.78 = 7,114.98 : x
  2. Step 2: Convert to fraction form
    7,854.04/11,758.78 = 7,114.98/x
  3. Step 3: Cross multiply
    7,854.04x = 11,758.78 × 7,114.98
  4. Step 4: Simplify right side
    7,854.04x = 83,663,484.52
  5. Step 5: Solve for x
    x = 83,663,484.52/7,854.04
  6. Step 6: Final answer
    x = 10,652.29

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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.