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Finding the Fourth Proportional to 13,995.60, 19,314.81 and 7,707.98

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Solution

The fourth proportional to 13,995.60, 19,314.81 and 7,707.98 is: 10,637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,995.60 : 19,314.81 = 7,707.98 : x
  2. Step 2: Convert to fraction form
    13,995.60/19,314.81 = 7,707.98/x
  3. Step 3: Cross multiply
    13,995.60x = 19,314.81 × 7,707.98
  4. Step 4: Simplify right side
    13,995.60x = 148,878,169.18
  5. Step 5: Solve for x
    x = 148,878,169.18/13,995.60
  6. Step 6: Final answer
    x = 10,637.50

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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.