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Finding the Fourth Proportional to 13,827.18, 19,081.71 and 7,859.01

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Solution

The fourth proportional to 13,827.18, 19,081.71 and 7,859.01 is: 10,845.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827.18 : 19,081.71 = 7,859.01 : x
  2. Step 2: Convert to fraction form
    13,827.18/19,081.71 = 7,859.01/x
  3. Step 3: Cross multiply
    13,827.18x = 19,081.71 × 7,859.01
  4. Step 4: Simplify right side
    13,827.18x = 149,963,349.71
  5. Step 5: Solve for x
    x = 149,963,349.71/13,827.18
  6. Step 6: Final answer
    x = 10,845.55

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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.