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Finding the Fourth Proportional to 6,391.61, 9,574.64 and 5,077.58

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Solution

The fourth proportional to 6,391.61, 9,574.64 and 5,077.58 is: 7,606.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.61 : 9,574.64 = 5,077.58 : x
  2. Step 2: Convert to fraction form
    6,391.61/9,574.64 = 5,077.58/x
  3. Step 3: Cross multiply
    6,391.61x = 9,574.64 × 5,077.58
  4. Step 4: Simplify right side
    6,391.61x = 48,616,000.57
  5. Step 5: Solve for x
    x = 48,616,000.57/6,391.61
  6. Step 6: Final answer
    x = 7,606.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.