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Finding the Fourth Proportional to 7,005.32, 9,665.41 and 4,878.46

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Solution

The fourth proportional to 7,005.32, 9,665.41 and 4,878.46 is: 6,730.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.32 : 9,665.41 = 4,878.46 : x
  2. Step 2: Convert to fraction form
    7,005.32/9,665.41 = 4,878.46/x
  3. Step 3: Cross multiply
    7,005.32x = 9,665.41 × 4,878.46
  4. Step 4: Simplify right side
    7,005.32x = 47,152,316.07
  5. Step 5: Solve for x
    x = 47,152,316.07/7,005.32
  6. Step 6: Final answer
    x = 6,730.93

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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.