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Finding the Fourth Proportional to 2,897.84, 4,347.40 and 1,358

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Solution

The fourth proportional to 2,897.84, 4,347.40 and 1,358 is: 2,037.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.84 : 4,347.40 = 1,358 : x
  2. Step 2: Convert to fraction form
    2,897.84/4,347.40 = 1,358/x
  3. Step 3: Cross multiply
    2,897.84x = 4,347.40 × 1,358
  4. Step 4: Simplify right side
    2,897.84x = 5,903,769.20
  5. Step 5: Solve for x
    x = 5,903,769.20/2,897.84
  6. Step 6: Final answer
    x = 2,037.30

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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.