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Finding the Fourth Proportional to 1,430.98, 1,975.49 and 1,354.68

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Solution

The fourth proportional to 1,430.98, 1,975.49 and 1,354.68 is: 1,870.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.98 : 1,975.49 = 1,354.68 : x
  2. Step 2: Convert to fraction form
    1,430.98/1,975.49 = 1,354.68/x
  3. Step 3: Cross multiply
    1,430.98x = 1,975.49 × 1,354.68
  4. Step 4: Simplify right side
    1,430.98x = 2,676,156.79
  5. Step 5: Solve for x
    x = 2,676,156.79/1,430.98
  6. Step 6: Final answer
    x = 1,870.16

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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.