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Finding the Fourth Proportional to 13,178.57, 18,186.47 and 7,210.22

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Solution

The fourth proportional to 13,178.57, 18,186.47 and 7,210.22 is: 9,950.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.57 : 18,186.47 = 7,210.22 : x
  2. Step 2: Convert to fraction form
    13,178.57/18,186.47 = 7,210.22/x
  3. Step 3: Cross multiply
    13,178.57x = 18,186.47 × 7,210.22
  4. Step 4: Simplify right side
    13,178.57x = 131,128,417.98
  5. Step 5: Solve for x
    x = 131,128,417.98/13,178.57
  6. Step 6: Final answer
    x = 9,950.13

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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.