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Finding the Fourth Proportional to 13,257.81, 19,895.76 and 7,017.57

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Solution

The fourth proportional to 13,257.81, 19,895.76 and 7,017.57 is: 10,531.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257.81 : 19,895.76 = 7,017.57 : x
  2. Step 2: Convert to fraction form
    13,257.81/19,895.76 = 7,017.57/x
  3. Step 3: Cross multiply
    13,257.81x = 19,895.76 × 7,017.57
  4. Step 4: Simplify right side
    13,257.81x = 139,619,888.50
  5. Step 5: Solve for x
    x = 139,619,888.50/13,257.81
  6. Step 6: Final answer
    x = 10,531.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.