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Finding the Fourth Proportional to 27,300.32, 40,950.50 and 7,578.88

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Solution

The fourth proportional to 27,300.32, 40,950.50 and 7,578.88 is: 11,368.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,300.32 : 40,950.50 = 7,578.88 : x
  2. Step 2: Convert to fraction form
    27,300.32/40,950.50 = 7,578.88/x
  3. Step 3: Cross multiply
    27,300.32x = 40,950.50 × 7,578.88
  4. Step 4: Simplify right side
    27,300.32x = 310,358,925.44
  5. Step 5: Solve for x
    x = 310,358,925.44/27,300.32
  6. Step 6: Final answer
    x = 11,368.32

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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.