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Finding the Fourth Proportional to 10,354.40, 15,530.08 and 3,428

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Solution

The fourth proportional to 10,354.40, 15,530.08 and 3,428 is: 5,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.40 : 15,530.08 = 3,428 : x
  2. Step 2: Convert to fraction form
    10,354.40/15,530.08 = 3,428/x
  3. Step 3: Cross multiply
    10,354.40x = 15,530.08 × 3,428
  4. Step 4: Simplify right side
    10,354.40x = 53,237,114.24
  5. Step 5: Solve for x
    x = 53,237,114.24/10,354.40
  6. Step 6: Final answer
    x = 5,141.50

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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.