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Finding the Fourth Proportional to 7,780.70, 10,724.46 and 5,509.06

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Solution

The fourth proportional to 7,780.70, 10,724.46 and 5,509.06 is: 7,593.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.70 : 10,724.46 = 5,509.06 : x
  2. Step 2: Convert to fraction form
    7,780.70/10,724.46 = 5,509.06/x
  3. Step 3: Cross multiply
    7,780.70x = 10,724.46 × 5,509.06
  4. Step 4: Simplify right side
    7,780.70x = 59,081,693.61
  5. Step 5: Solve for x
    x = 59,081,693.61/7,780.70
  6. Step 6: Final answer
    x = 7,593.36

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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.