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Finding the Fourth Proportional to 10,869.16, 15,011.76 and 7,326.28

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Solution

The fourth proportional to 10,869.16, 15,011.76 and 7,326.28 is: 10,118.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869.16 : 15,011.76 = 7,326.28 : x
  2. Step 2: Convert to fraction form
    10,869.16/15,011.76 = 7,326.28/x
  3. Step 3: Cross multiply
    10,869.16x = 15,011.76 × 7,326.28
  4. Step 4: Simplify right side
    10,869.16x = 109,980,357.05
  5. Step 5: Solve for x
    x = 109,980,357.05/10,869.16
  6. Step 6: Final answer
    x = 10,118.57

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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.