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Finding the Fourth Proportional to 9,090.85, 12,545.53 and 5,058

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Solution

The fourth proportional to 9,090.85, 12,545.53 and 5,058 is: 6,980.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090.85 : 12,545.53 = 5,058 : x
  2. Step 2: Convert to fraction form
    9,090.85/12,545.53 = 5,058/x
  3. Step 3: Cross multiply
    9,090.85x = 12,545.53 × 5,058
  4. Step 4: Simplify right side
    9,090.85x = 63,455,290.74
  5. Step 5: Solve for x
    x = 63,455,290.74/9,090.85
  6. Step 6: Final answer
    x = 6,980.13

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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.