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Finding the Fourth Proportional to 11,280.70, 15,562.04 and 7,505.70

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Solution

The fourth proportional to 11,280.70, 15,562.04 and 7,505.70 is: 10,354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,280.70 : 15,562.04 = 7,505.70 : x
  2. Step 2: Convert to fraction form
    11,280.70/15,562.04 = 7,505.70/x
  3. Step 3: Cross multiply
    11,280.70x = 15,562.04 × 7,505.70
  4. Step 4: Simplify right side
    11,280.70x = 116,804,003.63
  5. Step 5: Solve for x
    x = 116,804,003.63/11,280.70
  6. Step 6: Final answer
    x = 10,354.32

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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.