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Finding the Fourth Proportional to 10,303.50, 15,442.57 and 4,749.13

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Solution

The fourth proportional to 10,303.50, 15,442.57 and 4,749.13 is: 7,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.50 : 15,442.57 = 4,749.13 : x
  2. Step 2: Convert to fraction form
    10,303.50/15,442.57 = 4,749.13/x
  3. Step 3: Cross multiply
    10,303.50x = 15,442.57 × 4,749.13
  4. Step 4: Simplify right side
    10,303.50x = 73,338,772.46
  5. Step 5: Solve for x
    x = 73,338,772.46/10,303.50
  6. Step 6: Final answer
    x = 7,117.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.