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Finding the Fourth Proportional to 7,102.58, 9,807.75 and 4,454.55

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Solution

The fourth proportional to 7,102.58, 9,807.75 and 4,454.55 is: 6,151.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.58 : 9,807.75 = 4,454.55 : x
  2. Step 2: Convert to fraction form
    7,102.58/9,807.75 = 4,454.55/x
  3. Step 3: Cross multiply
    7,102.58x = 9,807.75 × 4,454.55
  4. Step 4: Simplify right side
    7,102.58x = 43,689,112.76
  5. Step 5: Solve for x
    x = 43,689,112.76/7,102.58
  6. Step 6: Final answer
    x = 6,151.17

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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.