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Finding the Fourth Proportional to 10,966.84, 15,133.14 and 7,431.40

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Solution

The fourth proportional to 10,966.84, 15,133.14 and 7,431.40 is: 10,254.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.84 : 15,133.14 = 7,431.40 : x
  2. Step 2: Convert to fraction form
    10,966.84/15,133.14 = 7,431.40/x
  3. Step 3: Cross multiply
    10,966.84x = 15,133.14 × 7,431.40
  4. Step 4: Simplify right side
    10,966.84x = 112,460,416.60
  5. Step 5: Solve for x
    x = 112,460,416.60/10,966.84
  6. Step 6: Final answer
    x = 10,254.59

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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.