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Finding the Fourth Proportional to 7,244.57, 9,987.86 and 6,506.46

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Solution

The fourth proportional to 7,244.57, 9,987.86 and 6,506.46 is: 8,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,244.57 : 9,987.86 = 6,506.46 : x
  2. Step 2: Convert to fraction form
    7,244.57/9,987.86 = 6,506.46/x
  3. Step 3: Cross multiply
    7,244.57x = 9,987.86 × 6,506.46
  4. Step 4: Simplify right side
    7,244.57x = 64,985,627.84
  5. Step 5: Solve for x
    x = 64,985,627.84/7,244.57
  6. Step 6: Final answer
    x = 8,970.25

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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.