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Finding the Fourth Proportional to 1,458, 2,017.17 and 1,247.67

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Solution

The fourth proportional to 1,458, 2,017.17 and 1,247.67 is: 1,726.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458 : 2,017.17 = 1,247.67 : x
  2. Step 2: Convert to fraction form
    1,458/2,017.17 = 1,247.67/x
  3. Step 3: Cross multiply
    1,458x = 2,017.17 × 1,247.67
  4. Step 4: Simplify right side
    1,458x = 2,516,762.49
  5. Step 5: Solve for x
    x = 2,516,762.49/1,458
  6. Step 6: Final answer
    x = 1,726.17

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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.