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Finding the Fourth Proportional to 14,785, 20,406.76 and 9,750.12

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Solution

The fourth proportional to 14,785, 20,406.76 and 9,750.12 is: 13,457.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,785 : 20,406.76 = 9,750.12 : x
  2. Step 2: Convert to fraction form
    14,785/20,406.76 = 9,750.12/x
  3. Step 3: Cross multiply
    14,785x = 20,406.76 × 9,750.12
  4. Step 4: Simplify right side
    14,785x = 198,968,358.81
  5. Step 5: Solve for x
    x = 198,968,358.81/14,785
  6. Step 6: Final answer
    x = 13,457.45

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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.