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Finding the Fourth Proportional to 7,866.24, 10,854.90 and 4,328.70

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Solution

The fourth proportional to 7,866.24, 10,854.90 and 4,328.70 is: 5,973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.24 : 10,854.90 = 4,328.70 : x
  2. Step 2: Convert to fraction form
    7,866.24/10,854.90 = 4,328.70/x
  3. Step 3: Cross multiply
    7,866.24x = 10,854.90 × 4,328.70
  4. Step 4: Simplify right side
    7,866.24x = 46,987,605.63
  5. Step 5: Solve for x
    x = 46,987,605.63/7,866.24
  6. Step 6: Final answer
    x = 5,973.32

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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.