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Finding the Fourth Proportional to 6,386.04, 9,564.06 and 4,913.40

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Solution

The fourth proportional to 6,386.04, 9,564.06 and 4,913.40 is: 7,358.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.04 : 9,564.06 = 4,913.40 : x
  2. Step 2: Convert to fraction form
    6,386.04/9,564.06 = 4,913.40/x
  3. Step 3: Cross multiply
    6,386.04x = 9,564.06 × 4,913.40
  4. Step 4: Simplify right side
    6,386.04x = 46,992,052.40
  5. Step 5: Solve for x
    x = 46,992,052.40/6,386.04
  6. Step 6: Final answer
    x = 7,358.56

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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.