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Finding the Fourth Proportional to 6,587.69, 9,920.20 and 4,751.51

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Solution

The fourth proportional to 6,587.69, 9,920.20 and 4,751.51 is: 7,155.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.69 : 9,920.20 = 4,751.51 : x
  2. Step 2: Convert to fraction form
    6,587.69/9,920.20 = 4,751.51/x
  3. Step 3: Cross multiply
    6,587.69x = 9,920.20 × 4,751.51
  4. Step 4: Simplify right side
    6,587.69x = 47,135,905.74
  5. Step 5: Solve for x
    x = 47,135,905.74/6,587.69
  6. Step 6: Final answer
    x = 7,155.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.