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Finding the Fourth Proportional to 7,698.14, 11,547.21 and 1,854.75

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Solution

The fourth proportional to 7,698.14, 11,547.21 and 1,854.75 is: 2,782.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.14 : 11,547.21 = 1,854.75 : x
  2. Step 2: Convert to fraction form
    7,698.14/11,547.21 = 1,854.75/x
  3. Step 3: Cross multiply
    7,698.14x = 11,547.21 × 1,854.75
  4. Step 4: Simplify right side
    7,698.14x = 21,417,120.74
  5. Step 5: Solve for x
    x = 21,417,120.74/7,698.14
  6. Step 6: Final answer
    x = 2,782.12

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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.