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Finding the Fourth Proportional to 3,430.65, 4,734.40 and 1,938.48

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Solution

The fourth proportional to 3,430.65, 4,734.40 and 1,938.48 is: 2,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.65 : 4,734.40 = 1,938.48 : x
  2. Step 2: Convert to fraction form
    3,430.65/4,734.40 = 1,938.48/x
  3. Step 3: Cross multiply
    3,430.65x = 4,734.40 × 1,938.48
  4. Step 4: Simplify right side
    3,430.65x = 9,177,547.38
  5. Step 5: Solve for x
    x = 9,177,547.38/3,430.65
  6. Step 6: Final answer
    x = 2,675.16

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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.