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Finding the Fourth Proportional to 9,389.79, 12,957.93 and 5,853

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Solution

The fourth proportional to 9,389.79, 12,957.93 and 5,853 is: 8,077.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.79 : 12,957.93 = 5,853 : x
  2. Step 2: Convert to fraction form
    9,389.79/12,957.93 = 5,853/x
  3. Step 3: Cross multiply
    9,389.79x = 12,957.93 × 5,853
  4. Step 4: Simplify right side
    9,389.79x = 75,842,764.29
  5. Step 5: Solve for x
    x = 75,842,764.29/9,389.79
  6. Step 6: Final answer
    x = 8,077.15

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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.