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Finding the Fourth Proportional to 7,870.24, 11,795.64 and 6,898.24

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Solution

The fourth proportional to 7,870.24, 11,795.64 and 6,898.24 is: 10,338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.24 : 11,795.64 = 6,898.24 : x
  2. Step 2: Convert to fraction form
    7,870.24/11,795.64 = 6,898.24/x
  3. Step 3: Cross multiply
    7,870.24x = 11,795.64 × 6,898.24
  4. Step 4: Simplify right side
    7,870.24x = 81,369,155.67
  5. Step 5: Solve for x
    x = 81,369,155.67/7,870.24
  6. Step 6: Final answer
    x = 10,338.84

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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.