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Finding the Fourth Proportional to 13,425.48, 18,526.78 and 7,457

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Solution

The fourth proportional to 13,425.48, 18,526.78 and 7,457 is: 10,290.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,425.48 : 18,526.78 = 7,457 : x
  2. Step 2: Convert to fraction form
    13,425.48/18,526.78 = 7,457/x
  3. Step 3: Cross multiply
    13,425.48x = 18,526.78 × 7,457
  4. Step 4: Simplify right side
    13,425.48x = 138,154,198.46
  5. Step 5: Solve for x
    x = 138,154,198.46/13,425.48
  6. Step 6: Final answer
    x = 10,290.45

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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.