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Finding the Fourth Proportional to 8,543.72, 11,783.70 and 5,398.76

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Solution

The fourth proportional to 8,543.72, 11,783.70 and 5,398.76 is: 7,446.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.72 : 11,783.70 = 5,398.76 : x
  2. Step 2: Convert to fraction form
    8,543.72/11,783.70 = 5,398.76/x
  3. Step 3: Cross multiply
    8,543.72x = 11,783.70 × 5,398.76
  4. Step 4: Simplify right side
    8,543.72x = 63,617,368.21
  5. Step 5: Solve for x
    x = 63,617,368.21/8,543.72
  6. Step 6: Final answer
    x = 7,446.10

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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.