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Finding the Fourth Proportional to 13,795.94, 19,038 and 7,828.16

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Solution

The fourth proportional to 13,795.94, 19,038 and 7,828.16 is: 10,802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,795.94 : 19,038 = 7,828.16 : x
  2. Step 2: Convert to fraction form
    13,795.94/19,038 = 7,828.16/x
  3. Step 3: Cross multiply
    13,795.94x = 19,038 × 7,828.16
  4. Step 4: Simplify right side
    13,795.94x = 149,032,510.08
  5. Step 5: Solve for x
    x = 149,032,510.08/13,795.94
  6. Step 6: Final answer
    x = 10,802.64

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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.