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Finding the Fourth Proportional to 1,288.47, 1,916.17 and 1,247.47

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Solution

The fourth proportional to 1,288.47, 1,916.17 and 1,247.47 is: 1,855.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.47 : 1,916.17 = 1,247.47 : x
  2. Step 2: Convert to fraction form
    1,288.47/1,916.17 = 1,247.47/x
  3. Step 3: Cross multiply
    1,288.47x = 1,916.17 × 1,247.47
  4. Step 4: Simplify right side
    1,288.47x = 2,390,363.70
  5. Step 5: Solve for x
    x = 2,390,363.70/1,288.47
  6. Step 6: Final answer
    x = 1,855.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.