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Finding the Fourth Proportional to 8,905.84, 13,369.10 and 5,210.76

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Solution

The fourth proportional to 8,905.84, 13,369.10 and 5,210.76 is: 7,822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,905.84 : 13,369.10 = 5,210.76 : x
  2. Step 2: Convert to fraction form
    8,905.84/13,369.10 = 5,210.76/x
  3. Step 3: Cross multiply
    8,905.84x = 13,369.10 × 5,210.76
  4. Step 4: Simplify right side
    8,905.84x = 69,663,171.52
  5. Step 5: Solve for x
    x = 69,663,171.52/8,905.84
  6. Step 6: Final answer
    x = 7,822.19

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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.