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Finding the Fourth Proportional to 11,510.67, 15,885.96 and 7,037.40

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Solution

The fourth proportional to 11,510.67, 15,885.96 and 7,037.40 is: 9,712.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510.67 : 15,885.96 = 7,037.40 : x
  2. Step 2: Convert to fraction form
    11,510.67/15,885.96 = 7,037.40/x
  3. Step 3: Cross multiply
    11,510.67x = 15,885.96 × 7,037.40
  4. Step 4: Simplify right side
    11,510.67x = 111,795,854.90
  5. Step 5: Solve for x
    x = 111,795,854.90/11,510.67
  6. Step 6: Final answer
    x = 9,712.37

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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.