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Finding the Fourth Proportional to 9,774.58, 13,506.78 and 7,117.36

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Solution

The fourth proportional to 9,774.58, 13,506.78 and 7,117.36 is: 9,834.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.58 : 13,506.78 = 7,117.36 : x
  2. Step 2: Convert to fraction form
    9,774.58/13,506.78 = 7,117.36/x
  3. Step 3: Cross multiply
    9,774.58x = 13,506.78 × 7,117.36
  4. Step 4: Simplify right side
    9,774.58x = 96,132,615.70
  5. Step 5: Solve for x
    x = 96,132,615.70/9,774.58
  6. Step 6: Final answer
    x = 9,834.96

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1.5x scale

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.