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Finding the Fourth Proportional to 2,347.65, 3,240.39 and 1,403.48

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Solution

The fourth proportional to 2,347.65, 3,240.39 and 1,403.48 is: 1,937.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.65 : 3,240.39 = 1,403.48 : x
  2. Step 2: Convert to fraction form
    2,347.65/3,240.39 = 1,403.48/x
  3. Step 3: Cross multiply
    2,347.65x = 3,240.39 × 1,403.48
  4. Step 4: Simplify right side
    2,347.65x = 4,547,806.36
  5. Step 5: Solve for x
    x = 4,547,806.36/2,347.65
  6. Step 6: Final answer
    x = 1,937.17

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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.