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Finding the Fourth Proportional to 13,085.78, 18,058 and 7,421.06

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Solution

The fourth proportional to 13,085.78, 18,058 and 7,421.06 is: 10,240.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,085.78 : 18,058 = 7,421.06 : x
  2. Step 2: Convert to fraction form
    13,085.78/18,058 = 7,421.06/x
  3. Step 3: Cross multiply
    13,085.78x = 18,058 × 7,421.06
  4. Step 4: Simplify right side
    13,085.78x = 134,009,501.48
  5. Step 5: Solve for x
    x = 134,009,501.48/13,085.78
  6. Step 6: Final answer
    x = 10,240.85

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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.