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Finding the Fourth Proportional to 1,614.70, 2,228.19 and 916.07

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Solution

The fourth proportional to 1,614.70, 2,228.19 and 916.07 is: 1,264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.70 : 2,228.19 = 916.07 : x
  2. Step 2: Convert to fraction form
    1,614.70/2,228.19 = 916.07/x
  3. Step 3: Cross multiply
    1,614.70x = 2,228.19 × 916.07
  4. Step 4: Simplify right side
    1,614.70x = 2,041,178.01
  5. Step 5: Solve for x
    x = 2,041,178.01/1,614.70
  6. Step 6: Final answer
    x = 1,264.13

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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.