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Finding the Fourth Proportional to 7,155, 10,676.88 and 6,500.52

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Solution

The fourth proportional to 7,155, 10,676.88 and 6,500.52 is: 9,700.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155 : 10,676.88 = 6,500.52 : x
  2. Step 2: Convert to fraction form
    7,155/10,676.88 = 6,500.52/x
  3. Step 3: Cross multiply
    7,155x = 10,676.88 × 6,500.52
  4. Step 4: Simplify right side
    7,155x = 69,405,271.98
  5. Step 5: Solve for x
    x = 69,405,271.98/7,155
  6. Step 6: Final answer
    x = 9,700.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.