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Finding the Fourth Proportional to 13,887, 19,140.75 and 10,528.74

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Solution

The fourth proportional to 13,887, 19,140.75 and 10,528.74 is: 14,511.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887 : 19,140.75 = 10,528.74 : x
  2. Step 2: Convert to fraction form
    13,887/19,140.75 = 10,528.74/x
  3. Step 3: Cross multiply
    13,887x = 19,140.75 × 10,528.74
  4. Step 4: Simplify right side
    13,887x = 201,527,980.16
  5. Step 5: Solve for x
    x = 201,527,980.16/13,887
  6. Step 6: Final answer
    x = 14,511.99

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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.