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Finding the Fourth Proportional to 10,871.84, 15,009.36 and 7,156.64

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Solution

The fourth proportional to 10,871.84, 15,009.36 and 7,156.64 is: 9,880.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.84 : 15,009.36 = 7,156.64 : x
  2. Step 2: Convert to fraction form
    10,871.84/15,009.36 = 7,156.64/x
  3. Step 3: Cross multiply
    10,871.84x = 15,009.36 × 7,156.64
  4. Step 4: Simplify right side
    10,871.84x = 107,416,586.15
  5. Step 5: Solve for x
    x = 107,416,586.15/10,871.84
  6. Step 6: Final answer
    x = 9,880.26

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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.