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Finding the Fourth Proportional to 7,035.57, 9,711 and 4,381.38

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Solution

The fourth proportional to 7,035.57, 9,711 and 4,381.38 is: 6,047.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.57 : 9,711 = 4,381.38 : x
  2. Step 2: Convert to fraction form
    7,035.57/9,711 = 4,381.38/x
  3. Step 3: Cross multiply
    7,035.57x = 9,711 × 4,381.38
  4. Step 4: Simplify right side
    7,035.57x = 42,547,581.18
  5. Step 5: Solve for x
    x = 42,547,581.18/7,035.57
  6. Step 6: Final answer
    x = 6,047.50

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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.