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Finding the Fourth Proportional to 11,547.28, 15,941.04 and 7,574.48

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Solution

The fourth proportional to 11,547.28, 15,941.04 and 7,574.48 is: 10,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.28 : 15,941.04 = 7,574.48 : x
  2. Step 2: Convert to fraction form
    11,547.28/15,941.04 = 7,574.48/x
  3. Step 3: Cross multiply
    11,547.28x = 15,941.04 × 7,574.48
  4. Step 4: Simplify right side
    11,547.28x = 120,745,088.66
  5. Step 5: Solve for x
    x = 120,745,088.66/11,547.28
  6. Step 6: Final answer
    x = 10,456.58

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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.