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Finding the Fourth Proportional to 7,227.90, 9,966.60 and 4,705.35

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Solution

The fourth proportional to 7,227.90, 9,966.60 and 4,705.35 is: 6,488.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.90 : 9,966.60 = 4,705.35 : x
  2. Step 2: Convert to fraction form
    7,227.90/9,966.60 = 4,705.35/x
  3. Step 3: Cross multiply
    7,227.90x = 9,966.60 × 4,705.35
  4. Step 4: Simplify right side
    7,227.90x = 46,896,341.31
  5. Step 5: Solve for x
    x = 46,896,341.31/7,227.90
  6. Step 6: Final answer
    x = 6,488.24

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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.