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Finding the Fourth Proportional to 13,814.64, 19,064.04 and 7,527

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Solution

The fourth proportional to 13,814.64, 19,064.04 and 7,527 is: 10,387.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.64 : 19,064.04 = 7,527 : x
  2. Step 2: Convert to fraction form
    13,814.64/19,064.04 = 7,527/x
  3. Step 3: Cross multiply
    13,814.64x = 19,064.04 × 7,527
  4. Step 4: Simplify right side
    13,814.64x = 143,495,029.08
  5. Step 5: Solve for x
    x = 143,495,029.08/13,814.64
  6. Step 6: Final answer
    x = 10,387.17

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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.