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Finding the Fourth Proportional to 7,864.94, 10,853.20 and 4,327.47

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Solution

The fourth proportional to 7,864.94, 10,853.20 and 4,327.47 is: 5,971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.94 : 10,853.20 = 4,327.47 : x
  2. Step 2: Convert to fraction form
    7,864.94/10,853.20 = 4,327.47/x
  3. Step 3: Cross multiply
    7,864.94x = 10,853.20 × 4,327.47
  4. Step 4: Simplify right side
    7,864.94x = 46,966,897.40
  5. Step 5: Solve for x
    x = 46,966,897.40/7,864.94
  6. Step 6: Final answer
    x = 5,971.68

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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.