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Finding the Fourth Proportional to 7,017.60, 9,664.61 and 6,864.51

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Solution

The fourth proportional to 7,017.60, 9,664.61 and 6,864.51 is: 9,453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,017.60 : 9,664.61 = 6,864.51 : x
  2. Step 2: Convert to fraction form
    7,017.60/9,664.61 = 6,864.51/x
  3. Step 3: Cross multiply
    7,017.60x = 9,664.61 × 6,864.51
  4. Step 4: Simplify right side
    7,017.60x = 66,342,777.67
  5. Step 5: Solve for x
    x = 66,342,777.67/7,017.60
  6. Step 6: Final answer
    x = 9,453.77

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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.