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Finding the Fourth Proportional to 10,028, 15,038.28 and 4,475.84

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Solution

The fourth proportional to 10,028, 15,038.28 and 4,475.84 is: 6,712.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028 : 15,038.28 = 4,475.84 : x
  2. Step 2: Convert to fraction form
    10,028/15,038.28 = 4,475.84/x
  3. Step 3: Cross multiply
    10,028x = 15,038.28 × 4,475.84
  4. Step 4: Simplify right side
    10,028x = 67,308,935.16
  5. Step 5: Solve for x
    x = 67,308,935.16/10,028
  6. Step 6: Final answer
    x = 6,712.10

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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.