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Finding the Fourth Proportional to 28,228.86, 42,343.29 and 9,762.30

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Solution

The fourth proportional to 28,228.86, 42,343.29 and 9,762.30 is: 14,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,228.86 : 42,343.29 = 9,762.30 : x
  2. Step 2: Convert to fraction form
    28,228.86/42,343.29 = 9,762.30/x
  3. Step 3: Cross multiply
    28,228.86x = 42,343.29 × 9,762.30
  4. Step 4: Simplify right side
    28,228.86x = 413,367,899.97
  5. Step 5: Solve for x
    x = 413,367,899.97/28,228.86
  6. Step 6: Final answer
    x = 14,643.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.