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Finding the Fourth Proportional to 6,864.54, 9,485.43 and 5,478.30

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Solution

The fourth proportional to 6,864.54, 9,485.43 and 5,478.30 is: 7,569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.54 : 9,485.43 = 5,478.30 : x
  2. Step 2: Convert to fraction form
    6,864.54/9,485.43 = 5,478.30/x
  3. Step 3: Cross multiply
    6,864.54x = 9,485.43 × 5,478.30
  4. Step 4: Simplify right side
    6,864.54x = 51,964,031.17
  5. Step 5: Solve for x
    x = 51,964,031.17/6,864.54
  6. Step 6: Final answer
    x = 7,569.92

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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.