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Finding the Fourth Proportional to 10,203, 15,303.78 and 5,007

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Solution

The fourth proportional to 10,203, 15,303.78 and 5,007 is: 7,510.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203 : 15,303.78 = 5,007 : x
  2. Step 2: Convert to fraction form
    10,203/15,303.78 = 5,007/x
  3. Step 3: Cross multiply
    10,203x = 15,303.78 × 5,007
  4. Step 4: Simplify right side
    10,203x = 76,626,026.46
  5. Step 5: Solve for x
    x = 76,626,026.46/10,203
  6. Step 6: Final answer
    x = 7,510.15

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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.