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Finding the Fourth Proportional to 5,713.65, 7,886.34 and 5,123.16

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Solution

The fourth proportional to 5,713.65, 7,886.34 and 5,123.16 is: 7,071.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.65 : 7,886.34 = 5,123.16 : x
  2. Step 2: Convert to fraction form
    5,713.65/7,886.34 = 5,123.16/x
  3. Step 3: Cross multiply
    5,713.65x = 7,886.34 × 5,123.16
  4. Step 4: Simplify right side
    5,713.65x = 40,402,981.63
  5. Step 5: Solve for x
    x = 40,402,981.63/5,713.65
  6. Step 6: Final answer
    x = 7,071.31

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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.