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Finding the Fourth Proportional to 10,506.99, 15,760.47 and 7,210.08

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Solution

The fourth proportional to 10,506.99, 15,760.47 and 7,210.08 is: 10,815.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.99 : 15,760.47 = 7,210.08 : x
  2. Step 2: Convert to fraction form
    10,506.99/15,760.47 = 7,210.08/x
  3. Step 3: Cross multiply
    10,506.99x = 15,760.47 × 7,210.08
  4. Step 4: Simplify right side
    10,506.99x = 113,634,249.54
  5. Step 5: Solve for x
    x = 113,634,249.54/10,506.99
  6. Step 6: Final answer
    x = 10,815.11

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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.