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Finding the Fourth Proportional to 1,417.84, 2,136.64 and 1,312

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Solution

The fourth proportional to 1,417.84, 2,136.64 and 1,312 is: 1,977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.84 : 2,136.64 = 1,312 : x
  2. Step 2: Convert to fraction form
    1,417.84/2,136.64 = 1,312/x
  3. Step 3: Cross multiply
    1,417.84x = 2,136.64 × 1,312
  4. Step 4: Simplify right side
    1,417.84x = 2,803,271.68
  5. Step 5: Solve for x
    x = 2,803,271.68/1,417.84
  6. Step 6: Final answer
    x = 1,977.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.