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Finding the Fourth Proportional to 3,045.79, 4,570.10 and 1,657.47

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Solution

The fourth proportional to 3,045.79, 4,570.10 and 1,657.47 is: 2,486.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.79 : 4,570.10 = 1,657.47 : x
  2. Step 2: Convert to fraction form
    3,045.79/4,570.10 = 1,657.47/x
  3. Step 3: Cross multiply
    3,045.79x = 4,570.10 × 1,657.47
  4. Step 4: Simplify right side
    3,045.79x = 7,574,801.20
  5. Step 5: Solve for x
    x = 7,574,801.20/3,045.79
  6. Step 6: Final answer
    x = 2,486.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.