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Finding the Fourth Proportional to 11,248.40, 15,533.16 and 7,533.20

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Solution

The fourth proportional to 11,248.40, 15,533.16 and 7,533.20 is: 10,402.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,248.40 : 15,533.16 = 7,533.20 : x
  2. Step 2: Convert to fraction form
    11,248.40/15,533.16 = 7,533.20/x
  3. Step 3: Cross multiply
    11,248.40x = 15,533.16 × 7,533.20
  4. Step 4: Simplify right side
    11,248.40x = 117,014,400.91
  5. Step 5: Solve for x
    x = 117,014,400.91/11,248.40
  6. Step 6: Final answer
    x = 10,402.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.