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Finding the Fourth Proportional to 10,501.81, 15,720.12 and 7,853.71

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Solution

The fourth proportional to 10,501.81, 15,720.12 and 7,853.71 is: 11,756.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.81 : 15,720.12 = 7,853.71 : x
  2. Step 2: Convert to fraction form
    10,501.81/15,720.12 = 7,853.71/x
  3. Step 3: Cross multiply
    10,501.81x = 15,720.12 × 7,853.71
  4. Step 4: Simplify right side
    10,501.81x = 123,461,263.65
  5. Step 5: Solve for x
    x = 123,461,263.65/10,501.81
  6. Step 6: Final answer
    x = 11,756.19

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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.