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Finding the Fourth Proportional to 7,865.40, 10,854 and 4,328.88

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Solution

The fourth proportional to 7,865.40, 10,854 and 4,328.88 is: 5,973.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.40 : 10,854 = 4,328.88 : x
  2. Step 2: Convert to fraction form
    7,865.40/10,854 = 4,328.88/x
  3. Step 3: Cross multiply
    7,865.40x = 10,854 × 4,328.88
  4. Step 4: Simplify right side
    7,865.40x = 46,985,663.52
  5. Step 5: Solve for x
    x = 46,985,663.52/7,865.40
  6. Step 6: Final answer
    x = 5,973.72

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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.