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Finding the Fourth Proportional to 46,857.88, 64,657.50 and 27,991

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Solution

The fourth proportional to 46,857.88, 64,657.50 and 27,991 is: 38,623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,857.88 : 64,657.50 = 27,991 : x
  2. Step 2: Convert to fraction form
    46,857.88/64,657.50 = 27,991/x
  3. Step 3: Cross multiply
    46,857.88x = 64,657.50 × 27,991
  4. Step 4: Simplify right side
    46,857.88x = 1,809,828,082.50
  5. Step 5: Solve for x
    x = 1,809,828,082.50/46,857.88
  6. Step 6: Final answer
    x = 38,623.77

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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.