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Finding the Fourth Proportional to 28,473.16, 42,710.91 and 9,766.06

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Solution

The fourth proportional to 28,473.16, 42,710.91 and 9,766.06 is: 14,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,473.16 : 42,710.91 = 9,766.06 : x
  2. Step 2: Convert to fraction form
    28,473.16/42,710.91 = 9,766.06/x
  3. Step 3: Cross multiply
    28,473.16x = 42,710.91 × 9,766.06
  4. Step 4: Simplify right side
    28,473.16x = 417,117,119.99
  5. Step 5: Solve for x
    x = 417,117,119.99/28,473.16
  6. Step 6: Final answer
    x = 14,649.49

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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.