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Finding the Fourth Proportional to 6,484.48, 8,928.96 and 5,434.72

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Solution

The fourth proportional to 6,484.48, 8,928.96 and 5,434.72 is: 7,483.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.48 : 8,928.96 = 5,434.72 : x
  2. Step 2: Convert to fraction form
    6,484.48/8,928.96 = 5,434.72/x
  3. Step 3: Cross multiply
    6,484.48x = 8,928.96 × 5,434.72
  4. Step 4: Simplify right side
    6,484.48x = 48,526,397.49
  5. Step 5: Solve for x
    x = 48,526,397.49/6,484.48
  6. Step 6: Final answer
    x = 7,483.47

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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.