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Finding the Fourth Proportional to 11,457.50, 15,808.95 and 6,742.30

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Solution

The fourth proportional to 11,457.50, 15,808.95 and 6,742.30 is: 9,302.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457.50 : 15,808.95 = 6,742.30 : x
  2. Step 2: Convert to fraction form
    11,457.50/15,808.95 = 6,742.30/x
  3. Step 3: Cross multiply
    11,457.50x = 15,808.95 × 6,742.30
  4. Step 4: Simplify right side
    11,457.50x = 106,588,683.59
  5. Step 5: Solve for x
    x = 106,588,683.59/11,457.50
  6. Step 6: Final answer
    x = 9,302.96

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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.