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Finding the Fourth Proportional to 4,191, 6,287.40 and 1,417.74

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Solution

The fourth proportional to 4,191, 6,287.40 and 1,417.74 is: 2,126.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191 : 6,287.40 = 1,417.74 : x
  2. Step 2: Convert to fraction form
    4,191/6,287.40 = 1,417.74/x
  3. Step 3: Cross multiply
    4,191x = 6,287.40 × 1,417.74
  4. Step 4: Simplify right side
    4,191x = 8,913,898.48
  5. Step 5: Solve for x
    x = 8,913,898.48/4,191
  6. Step 6: Final answer
    x = 2,126.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.