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Finding the Fourth Proportional to 7,809.65, 10,774.28 and 4,976.51

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Solution

The fourth proportional to 7,809.65, 10,774.28 and 4,976.51 is: 6,865.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.65 : 10,774.28 = 4,976.51 : x
  2. Step 2: Convert to fraction form
    7,809.65/10,774.28 = 4,976.51/x
  3. Step 3: Cross multiply
    7,809.65x = 10,774.28 × 4,976.51
  4. Step 4: Simplify right side
    7,809.65x = 53,618,312.16
  5. Step 5: Solve for x
    x = 53,618,312.16/7,809.65
  6. Step 6: Final answer
    x = 6,865.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.