Home / 1,184.19-1,632.03-947.70

Finding the Fourth Proportional to 1,184.19, 1,632.03 and 947.70

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Solution

The fourth proportional to 1,184.19, 1,632.03 and 947.70 is: 1,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.19 : 1,632.03 = 947.70 : x
  2. Step 2: Convert to fraction form
    1,184.19/1,632.03 = 947.70/x
  3. Step 3: Cross multiply
    1,184.19x = 1,632.03 × 947.70
  4. Step 4: Simplify right side
    1,184.19x = 1,546,674.83
  5. Step 5: Solve for x
    x = 1,546,674.83/1,184.19
  6. Step 6: Final answer
    x = 1,306.10

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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.