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Finding the Fourth Proportional to 7,602.42, 10,490.80 and 4,458

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Solution

The fourth proportional to 7,602.42, 10,490.80 and 4,458 is: 6,151.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.42 : 10,490.80 = 4,458 : x
  2. Step 2: Convert to fraction form
    7,602.42/10,490.80 = 4,458/x
  3. Step 3: Cross multiply
    7,602.42x = 10,490.80 × 4,458
  4. Step 4: Simplify right side
    7,602.42x = 46,767,986.40
  5. Step 5: Solve for x
    x = 46,767,986.40/7,602.42
  6. Step 6: Final answer
    x = 6,151.72

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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.