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Finding the Fourth Proportional to 7,664.32, 10,574.04 and 5,013.28

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Solution

The fourth proportional to 7,664.32, 10,574.04 and 5,013.28 is: 6,916.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.32 : 10,574.04 = 5,013.28 : x
  2. Step 2: Convert to fraction form
    7,664.32/10,574.04 = 5,013.28/x
  3. Step 3: Cross multiply
    7,664.32x = 10,574.04 × 5,013.28
  4. Step 4: Simplify right side
    7,664.32x = 53,010,623.25
  5. Step 5: Solve for x
    x = 53,010,623.25/7,664.32
  6. Step 6: Final answer
    x = 6,916.55

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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.