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Finding the Fourth Proportional to 6,307.40, 9,461 and 1,690.40

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Solution

The fourth proportional to 6,307.40, 9,461 and 1,690.40 is: 2,535.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.40 : 9,461 = 1,690.40 : x
  2. Step 2: Convert to fraction form
    6,307.40/9,461 = 1,690.40/x
  3. Step 3: Cross multiply
    6,307.40x = 9,461 × 1,690.40
  4. Step 4: Simplify right side
    6,307.40x = 15,992,874.40
  5. Step 5: Solve for x
    x = 15,992,874.40/6,307.40
  6. Step 6: Final answer
    x = 2,535.57

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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.